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Finding the Fourth Proportional to 5,342.84, 8,002.31 and 3,088.61

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Solution

The fourth proportional to 5,342.84, 8,002.31 and 3,088.61 is: 4,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.84 : 8,002.31 = 3,088.61 : x
  2. Step 2: Convert to fraction form
    5,342.84/8,002.31 = 3,088.61/x
  3. Step 3: Cross multiply
    5,342.84x = 8,002.31 × 3,088.61
  4. Step 4: Simplify right side
    5,342.84x = 24,715,959.23
  5. Step 5: Solve for x
    x = 24,715,959.23/5,342.84
  6. Step 6: Final answer
    x = 4,626.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.