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Finding the Fourth Proportional to 4,307.93, 6,472.71 and 2,748.65

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Solution

The fourth proportional to 4,307.93, 6,472.71 and 2,748.65 is: 4,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.93 : 6,472.71 = 2,748.65 : x
  2. Step 2: Convert to fraction form
    4,307.93/6,472.71 = 2,748.65/x
  3. Step 3: Cross multiply
    4,307.93x = 6,472.71 × 2,748.65
  4. Step 4: Simplify right side
    4,307.93x = 17,791,214.34
  5. Step 5: Solve for x
    x = 17,791,214.34/4,307.93
  6. Step 6: Final answer
    x = 4,129.88

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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.