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Finding the Fourth Proportional to 5,838.21, 8,730.71 and 4,358.47

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Solution

The fourth proportional to 5,838.21, 8,730.71 and 4,358.47 is: 6,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.21 : 8,730.71 = 4,358.47 : x
  2. Step 2: Convert to fraction form
    5,838.21/8,730.71 = 4,358.47/x
  3. Step 3: Cross multiply
    5,838.21x = 8,730.71 × 4,358.47
  4. Step 4: Simplify right side
    5,838.21x = 38,052,537.61
  5. Step 5: Solve for x
    x = 38,052,537.61/5,838.21
  6. Step 6: Final answer
    x = 6,517.84

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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.