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Finding the Fourth Proportional to 4,752.78, 7,129.71 and 1,466.70

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Solution

The fourth proportional to 4,752.78, 7,129.71 and 1,466.70 is: 2,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.78 : 7,129.71 = 1,466.70 : x
  2. Step 2: Convert to fraction form
    4,752.78/7,129.71 = 1,466.70/x
  3. Step 3: Cross multiply
    4,752.78x = 7,129.71 × 1,466.70
  4. Step 4: Simplify right side
    4,752.78x = 10,457,145.66
  5. Step 5: Solve for x
    x = 10,457,145.66/4,752.78
  6. Step 6: Final answer
    x = 2,200.22

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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.