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Finding the Fourth Proportional to 4,377, 6,562.02 and 2,184.54

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Solution

The fourth proportional to 4,377, 6,562.02 and 2,184.54 is: 3,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377 : 6,562.02 = 2,184.54 : x
  2. Step 2: Convert to fraction form
    4,377/6,562.02 = 2,184.54/x
  3. Step 3: Cross multiply
    4,377x = 6,562.02 × 2,184.54
  4. Step 4: Simplify right side
    4,377x = 14,334,995.17
  5. Step 5: Solve for x
    x = 14,334,995.17/4,377
  6. Step 6: Final answer
    x = 3,275.07

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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.