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Finding the Fourth Proportional to 5,708.88, 8,543.85 and 4,785.48

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Solution

The fourth proportional to 5,708.88, 8,543.85 and 4,785.48 is: 7,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.88 : 8,543.85 = 4,785.48 : x
  2. Step 2: Convert to fraction form
    5,708.88/8,543.85 = 4,785.48/x
  3. Step 3: Cross multiply
    5,708.88x = 8,543.85 × 4,785.48
  4. Step 4: Simplify right side
    5,708.88x = 40,886,423.30
  5. Step 5: Solve for x
    x = 40,886,423.30/5,708.88
  6. Step 6: Final answer
    x = 7,161.90

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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.