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Finding the Fourth Proportional to 4,532.47, 6,254.76 and 2,764.07

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Solution

The fourth proportional to 4,532.47, 6,254.76 and 2,764.07 is: 3,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.47 : 6,254.76 = 2,764.07 : x
  2. Step 2: Convert to fraction form
    4,532.47/6,254.76 = 2,764.07/x
  3. Step 3: Cross multiply
    4,532.47x = 6,254.76 × 2,764.07
  4. Step 4: Simplify right side
    4,532.47x = 17,288,594.47
  5. Step 5: Solve for x
    x = 17,288,594.47/4,532.47
  6. Step 6: Final answer
    x = 3,814.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.