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Finding the Fourth Proportional to 4,710.12, 6,500.10 and 2,693.87

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Solution

The fourth proportional to 4,710.12, 6,500.10 and 2,693.87 is: 3,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.12 : 6,500.10 = 2,693.87 : x
  2. Step 2: Convert to fraction form
    4,710.12/6,500.10 = 2,693.87/x
  3. Step 3: Cross multiply
    4,710.12x = 6,500.10 × 2,693.87
  4. Step 4: Simplify right side
    4,710.12x = 17,510,424.39
  5. Step 5: Solve for x
    x = 17,510,424.39/4,710.12
  6. Step 6: Final answer
    x = 3,717.62

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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.