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Finding the Fourth Proportional to 5,854.32, 8,785.80 and 4,713.84

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Solution

The fourth proportional to 5,854.32, 8,785.80 and 4,713.84 is: 7,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.32 : 8,785.80 = 4,713.84 : x
  2. Step 2: Convert to fraction form
    5,854.32/8,785.80 = 4,713.84/x
  3. Step 3: Cross multiply
    5,854.32x = 8,785.80 × 4,713.84
  4. Step 4: Simplify right side
    5,854.32x = 41,414,855.47
  5. Step 5: Solve for x
    x = 41,414,855.47/5,854.32
  6. Step 6: Final answer
    x = 7,074.24

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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.