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Finding the Fourth Proportional to 4,577.10, 6,311.65 and 3,916.14

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Solution

The fourth proportional to 4,577.10, 6,311.65 and 3,916.14 is: 5,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.10 : 6,311.65 = 3,916.14 : x
  2. Step 2: Convert to fraction form
    4,577.10/6,311.65 = 3,916.14/x
  3. Step 3: Cross multiply
    4,577.10x = 6,311.65 × 3,916.14
  4. Step 4: Simplify right side
    4,577.10x = 24,717,305.03
  5. Step 5: Solve for x
    x = 24,717,305.03/4,577.10
  6. Step 6: Final answer
    x = 5,400.21

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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.