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Finding the Fourth Proportional to 5,785.62, 8,677.89 and 2,498.10

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Solution

The fourth proportional to 5,785.62, 8,677.89 and 2,498.10 is: 3,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.62 : 8,677.89 = 2,498.10 : x
  2. Step 2: Convert to fraction form
    5,785.62/8,677.89 = 2,498.10/x
  3. Step 3: Cross multiply
    5,785.62x = 8,677.89 × 2,498.10
  4. Step 4: Simplify right side
    5,785.62x = 21,678,237.01
  5. Step 5: Solve for x
    x = 21,678,237.01/5,785.62
  6. Step 6: Final answer
    x = 3,746.92

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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.