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Finding the Fourth Proportional to 4,343.76, 6,512.00 and 1,748.52

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Solution

The fourth proportional to 4,343.76, 6,512.00 and 1,748.52 is: 2,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.76 : 6,512.00 = 1,748.52 : x
  2. Step 2: Convert to fraction form
    4,343.76/6,512.00 = 1,748.52/x
  3. Step 3: Cross multiply
    4,343.76x = 6,512.00 × 1,748.52
  4. Step 4: Simplify right side
    4,343.76x = 11,386,353.50
  5. Step 5: Solve for x
    x = 11,386,353.50/4,343.76
  6. Step 6: Final answer
    x = 2,621.31

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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.