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Finding the Fourth Proportional to 5,854.16, 8,084.13 and 3,761.93

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Solution

The fourth proportional to 5,854.16, 8,084.13 and 3,761.93 is: 5,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.16 : 8,084.13 = 3,761.93 : x
  2. Step 2: Convert to fraction form
    5,854.16/8,084.13 = 3,761.93/x
  3. Step 3: Cross multiply
    5,854.16x = 8,084.13 × 3,761.93
  4. Step 4: Simplify right side
    5,854.16x = 30,411,931.17
  5. Step 5: Solve for x
    x = 30,411,931.17/5,854.16
  6. Step 6: Final answer
    x = 5,194.93

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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.