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Finding the Fourth Proportional to 5,048.25, 6,965.84 and 2,810.15

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Solution

The fourth proportional to 5,048.25, 6,965.84 and 2,810.15 is: 3,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.25 : 6,965.84 = 2,810.15 : x
  2. Step 2: Convert to fraction form
    5,048.25/6,965.84 = 2,810.15/x
  3. Step 3: Cross multiply
    5,048.25x = 6,965.84 × 2,810.15
  4. Step 4: Simplify right side
    5,048.25x = 19,575,041.23
  5. Step 5: Solve for x
    x = 19,575,041.23/5,048.25
  6. Step 6: Final answer
    x = 3,877.59

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