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Finding the Fourth Proportional to 4,577.60, 6,312.34 and 3,916.64

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Solution

The fourth proportional to 4,577.60, 6,312.34 and 3,916.64 is: 5,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.60 : 6,312.34 = 3,916.64 : x
  2. Step 2: Convert to fraction form
    4,577.60/6,312.34 = 3,916.64/x
  3. Step 3: Cross multiply
    4,577.60x = 6,312.34 × 3,916.64
  4. Step 4: Simplify right side
    4,577.60x = 24,723,163.34
  5. Step 5: Solve for x
    x = 24,723,163.34/4,577.60
  6. Step 6: Final answer
    x = 5,400.90

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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.