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Finding the Fourth Proportional to 4,572.10, 6,856.02 and 2,380.24

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Solution

The fourth proportional to 4,572.10, 6,856.02 and 2,380.24 is: 3,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.10 : 6,856.02 = 2,380.24 : x
  2. Step 2: Convert to fraction form
    4,572.10/6,856.02 = 2,380.24/x
  3. Step 3: Cross multiply
    4,572.10x = 6,856.02 × 2,380.24
  4. Step 4: Simplify right side
    4,572.10x = 16,318,973.04
  5. Step 5: Solve for x
    x = 16,318,973.04/4,572.10
  6. Step 6: Final answer
    x = 3,569.25

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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.