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Finding the Fourth Proportional to 5,856.57, 8,747.40 and 5,300.43

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Solution

The fourth proportional to 5,856.57, 8,747.40 and 5,300.43 is: 7,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.57 : 8,747.40 = 5,300.43 : x
  2. Step 2: Convert to fraction form
    5,856.57/8,747.40 = 5,300.43/x
  3. Step 3: Cross multiply
    5,856.57x = 8,747.40 × 5,300.43
  4. Step 4: Simplify right side
    5,856.57x = 46,364,981.38
  5. Step 5: Solve for x
    x = 46,364,981.38/5,856.57
  6. Step 6: Final answer
    x = 7,916.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.