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Finding the Fourth Proportional to 5,834.92, 8,762.82 and 5,600.02

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Solution

The fourth proportional to 5,834.92, 8,762.82 and 5,600.02 is: 8,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.92 : 8,762.82 = 5,600.02 : x
  2. Step 2: Convert to fraction form
    5,834.92/8,762.82 = 5,600.02/x
  3. Step 3: Cross multiply
    5,834.92x = 8,762.82 × 5,600.02
  4. Step 4: Simplify right side
    5,834.92x = 49,071,967.26
  5. Step 5: Solve for x
    x = 49,071,967.26/5,834.92
  6. Step 6: Final answer
    x = 8,410.05

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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.