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Finding the Fourth Proportional to 5,717.70, 7,916.67 and 5,426.10

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Solution

The fourth proportional to 5,717.70, 7,916.67 and 5,426.10 is: 7,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.70 : 7,916.67 = 5,426.10 : x
  2. Step 2: Convert to fraction form
    5,717.70/7,916.67 = 5,426.10/x
  3. Step 3: Cross multiply
    5,717.70x = 7,916.67 × 5,426.10
  4. Step 4: Simplify right side
    5,717.70x = 42,956,643.09
  5. Step 5: Solve for x
    x = 42,956,643.09/5,717.70
  6. Step 6: Final answer
    x = 7,512.92

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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.