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Finding the Fourth Proportional to 4,714.96, 6,500.02 and 3,386.44

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Solution

The fourth proportional to 4,714.96, 6,500.02 and 3,386.44 is: 4,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.96 : 6,500.02 = 3,386.44 : x
  2. Step 2: Convert to fraction form
    4,714.96/6,500.02 = 3,386.44/x
  3. Step 3: Cross multiply
    4,714.96x = 6,500.02 × 3,386.44
  4. Step 4: Simplify right side
    4,714.96x = 22,011,927.73
  5. Step 5: Solve for x
    x = 22,011,927.73/4,714.96
  6. Step 6: Final answer
    x = 4,668.53

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