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Finding the Fourth Proportional to 5,800.42, 8,684.08 and 5,432.60

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Solution

The fourth proportional to 5,800.42, 8,684.08 and 5,432.60 is: 8,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.42 : 8,684.08 = 5,432.60 : x
  2. Step 2: Convert to fraction form
    5,800.42/8,684.08 = 5,432.60/x
  3. Step 3: Cross multiply
    5,800.42x = 8,684.08 × 5,432.60
  4. Step 4: Simplify right side
    5,800.42x = 47,177,141.14
  5. Step 5: Solve for x
    x = 47,177,141.14/5,800.42
  6. Step 6: Final answer
    x = 8,133.40

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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.