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Finding the Fourth Proportional to 5,821.23, 8,039.01 and 4,977.06

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Solution

The fourth proportional to 5,821.23, 8,039.01 and 4,977.06 is: 6,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.23 : 8,039.01 = 4,977.06 : x
  2. Step 2: Convert to fraction form
    5,821.23/8,039.01 = 4,977.06/x
  3. Step 3: Cross multiply
    5,821.23x = 8,039.01 × 4,977.06
  4. Step 4: Simplify right side
    5,821.23x = 40,010,635.11
  5. Step 5: Solve for x
    x = 40,010,635.11/5,821.23
  6. Step 6: Final answer
    x = 6,873.23

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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.