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Finding the Fourth Proportional to 5,187.52, 7,780.14 and 1,488.93

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Solution

The fourth proportional to 5,187.52, 7,780.14 and 1,488.93 is: 2,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.52 : 7,780.14 = 1,488.93 : x
  2. Step 2: Convert to fraction form
    5,187.52/7,780.14 = 1,488.93/x
  3. Step 3: Cross multiply
    5,187.52x = 7,780.14 × 1,488.93
  4. Step 4: Simplify right side
    5,187.52x = 11,584,047.11
  5. Step 5: Solve for x
    x = 11,584,047.11/5,187.52
  6. Step 6: Final answer
    x = 2,233.06

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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.