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Finding the Fourth Proportional to 2,572.89, 3,864.04 and 2,356.01

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Solution

The fourth proportional to 2,572.89, 3,864.04 and 2,356.01 is: 3,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.89 : 3,864.04 = 2,356.01 : x
  2. Step 2: Convert to fraction form
    2,572.89/3,864.04 = 2,356.01/x
  3. Step 3: Cross multiply
    2,572.89x = 3,864.04 × 2,356.01
  4. Step 4: Simplify right side
    2,572.89x = 9,103,706.16
  5. Step 5: Solve for x
    x = 9,103,706.16/2,572.89
  6. Step 6: Final answer
    x = 3,538.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.