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Finding the Fourth Proportional to 4,691.52, 7,035.84 and 1,770.48

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Solution

The fourth proportional to 4,691.52, 7,035.84 and 1,770.48 is: 2,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.52 : 7,035.84 = 1,770.48 : x
  2. Step 2: Convert to fraction form
    4,691.52/7,035.84 = 1,770.48/x
  3. Step 3: Cross multiply
    4,691.52x = 7,035.84 × 1,770.48
  4. Step 4: Simplify right side
    4,691.52x = 12,456,814.00
  5. Step 5: Solve for x
    x = 12,456,814.00/4,691.52
  6. Step 6: Final answer
    x = 2,655.18

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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.