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Finding the Fourth Proportional to 5,838.13, 8,740.72 and 5,378.86

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Solution

The fourth proportional to 5,838.13, 8,740.72 and 5,378.86 is: 8,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.13 : 8,740.72 = 5,378.86 : x
  2. Step 2: Convert to fraction form
    5,838.13/8,740.72 = 5,378.86/x
  3. Step 3: Cross multiply
    5,838.13x = 8,740.72 × 5,378.86
  4. Step 4: Simplify right side
    5,838.13x = 47,015,109.18
  5. Step 5: Solve for x
    x = 47,015,109.18/5,838.13
  6. Step 6: Final answer
    x = 8,053.11

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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.