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Finding the Fourth Proportional to 4,484.78, 6,727.78 and 1,562.70

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Solution

The fourth proportional to 4,484.78, 6,727.78 and 1,562.70 is: 2,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.78 : 6,727.78 = 1,562.70 : x
  2. Step 2: Convert to fraction form
    4,484.78/6,727.78 = 1,562.70/x
  3. Step 3: Cross multiply
    4,484.78x = 6,727.78 × 1,562.70
  4. Step 4: Simplify right side
    4,484.78x = 10,513,501.81
  5. Step 5: Solve for x
    x = 10,513,501.81/4,484.78
  6. Step 6: Final answer
    x = 2,344.26

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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.