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Finding the Fourth Proportional to 5,314.46, 7,931.50 and 5,176.22

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Solution

The fourth proportional to 5,314.46, 7,931.50 and 5,176.22 is: 7,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.46 : 7,931.50 = 5,176.22 : x
  2. Step 2: Convert to fraction form
    5,314.46/7,931.50 = 5,176.22/x
  3. Step 3: Cross multiply
    5,314.46x = 7,931.50 × 5,176.22
  4. Step 4: Simplify right side
    5,314.46x = 41,055,188.93
  5. Step 5: Solve for x
    x = 41,055,188.93/5,314.46
  6. Step 6: Final answer
    x = 7,725.19

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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.