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Finding the Fourth Proportional to 5,154.48, 7,731.63 and 1,456.74

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Solution

The fourth proportional to 5,154.48, 7,731.63 and 1,456.74 is: 2,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.48 : 7,731.63 = 1,456.74 : x
  2. Step 2: Convert to fraction form
    5,154.48/7,731.63 = 1,456.74/x
  3. Step 3: Cross multiply
    5,154.48x = 7,731.63 × 1,456.74
  4. Step 4: Simplify right side
    5,154.48x = 11,262,974.69
  5. Step 5: Solve for x
    x = 11,262,974.69/5,154.48
  6. Step 6: Final answer
    x = 2,185.08

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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.