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Finding the Fourth Proportional to 5,740.07, 7,916.33 and 5,156.87

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Solution

The fourth proportional to 5,740.07, 7,916.33 and 5,156.87 is: 7,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.07 : 7,916.33 = 5,156.87 : x
  2. Step 2: Convert to fraction form
    5,740.07/7,916.33 = 5,156.87/x
  3. Step 3: Cross multiply
    5,740.07x = 7,916.33 × 5,156.87
  4. Step 4: Simplify right side
    5,740.07x = 40,823,458.00
  5. Step 5: Solve for x
    x = 40,823,458.00/5,740.07
  6. Step 6: Final answer
    x = 7,112.02

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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.