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Finding the Fourth Proportional to 5,785.46, 8,678.19 and 1,402.92

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Solution

The fourth proportional to 5,785.46, 8,678.19 and 1,402.92 is: 2,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.46 : 8,678.19 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    5,785.46/8,678.19 = 1,402.92/x
  3. Step 3: Cross multiply
    5,785.46x = 8,678.19 × 1,402.92
  4. Step 4: Simplify right side
    5,785.46x = 12,174,776.40
  5. Step 5: Solve for x
    x = 12,174,776.40/5,785.46
  6. Step 6: Final answer
    x = 2,104.37

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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.