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Finding the Fourth Proportional to 5,673,268.38, 7,828,039.60 and 3,381,642.30

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Solution

The fourth proportional to 5,673,268.38, 7,828,039.60 and 3,381,642.30 is: 4,666,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673,268.38 : 7,828,039.60 = 3,381,642.30 : x
  2. Step 2: Convert to fraction form
    5,673,268.38/7,828,039.60 = 3,381,642.30/x
  3. Step 3: Cross multiply
    5,673,268.38x = 7,828,039.60 × 3,381,642.30
  4. Step 4: Simplify right side
    5,673,268.38x = 26,471,629,818,647.57
  5. Step 5: Solve for x
    x = 26,471,629,818,647.57/5,673,268.38
  6. Step 6: Final answer
    x = 4,666,028.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.