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Finding the Fourth Proportional to 4,577.50, 6,312.23 and 3,916.54

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Solution

The fourth proportional to 4,577.50, 6,312.23 and 3,916.54 is: 5,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.50 : 6,312.23 = 3,916.54 : x
  2. Step 2: Convert to fraction form
    4,577.50/6,312.23 = 3,916.54/x
  3. Step 3: Cross multiply
    4,577.50x = 6,312.23 × 3,916.54
  4. Step 4: Simplify right side
    4,577.50x = 24,722,101.28
  5. Step 5: Solve for x
    x = 24,722,101.28/4,577.50
  6. Step 6: Final answer
    x = 5,400.79

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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.