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Finding the Fourth Proportional to 4,650.52, 6,975.18 and 1,187.56

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Solution

The fourth proportional to 4,650.52, 6,975.18 and 1,187.56 is: 1,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.52 : 6,975.18 = 1,187.56 : x
  2. Step 2: Convert to fraction form
    4,650.52/6,975.18 = 1,187.56/x
  3. Step 3: Cross multiply
    4,650.52x = 6,975.18 × 1,187.56
  4. Step 4: Simplify right side
    4,650.52x = 8,283,444.76
  5. Step 5: Solve for x
    x = 8,283,444.76/4,650.52
  6. Step 6: Final answer
    x = 1,781.19

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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.