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Finding the Fourth Proportional to 5,854.32, 8,089.26 and 4,339.70

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Solution

The fourth proportional to 5,854.32, 8,089.26 and 4,339.70 is: 5,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.32 : 8,089.26 = 4,339.70 : x
  2. Step 2: Convert to fraction form
    5,854.32/8,089.26 = 4,339.70/x
  3. Step 3: Cross multiply
    5,854.32x = 8,089.26 × 4,339.70
  4. Step 4: Simplify right side
    5,854.32x = 35,104,961.62
  5. Step 5: Solve for x
    x = 35,104,961.62/5,854.32
  6. Step 6: Final answer
    x = 5,996.42

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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.