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Finding the Fourth Proportional to 4,497.52, 6,746.28 and 3,849.52

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Solution

The fourth proportional to 4,497.52, 6,746.28 and 3,849.52 is: 5,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.52 : 6,746.28 = 3,849.52 : x
  2. Step 2: Convert to fraction form
    4,497.52/6,746.28 = 3,849.52/x
  3. Step 3: Cross multiply
    4,497.52x = 6,746.28 × 3,849.52
  4. Step 4: Simplify right side
    4,497.52x = 25,969,939.79
  5. Step 5: Solve for x
    x = 25,969,939.79/4,497.52
  6. Step 6: Final answer
    x = 5,774.28

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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.