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Finding the Fourth Proportional to 5,812.40, 8,737.96 and 4,724.40

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Solution

The fourth proportional to 5,812.40, 8,737.96 and 4,724.40 is: 7,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.40 : 8,737.96 = 4,724.40 : x
  2. Step 2: Convert to fraction form
    5,812.40/8,737.96 = 4,724.40/x
  3. Step 3: Cross multiply
    5,812.40x = 8,737.96 × 4,724.40
  4. Step 4: Simplify right side
    5,812.40x = 41,281,618.22
  5. Step 5: Solve for x
    x = 41,281,618.22/5,812.40
  6. Step 6: Final answer
    x = 7,102.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.