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Finding the Fourth Proportional to 5,737.11, 7,916.74 and 4,059.50

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Solution

The fourth proportional to 5,737.11, 7,916.74 and 4,059.50 is: 5,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.11 : 7,916.74 = 4,059.50 : x
  2. Step 2: Convert to fraction form
    5,737.11/7,916.74 = 4,059.50/x
  3. Step 3: Cross multiply
    5,737.11x = 7,916.74 × 4,059.50
  4. Step 4: Simplify right side
    5,737.11x = 32,138,038.51
  5. Step 5: Solve for x
    x = 32,138,038.51/5,737.11
  6. Step 6: Final answer
    x = 5,601.78

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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.