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Finding the Fourth Proportional to 4,966.04, 7,478.60 and 4,324.52

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Solution

The fourth proportional to 4,966.04, 7,478.60 and 4,324.52 is: 6,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.04 : 7,478.60 = 4,324.52 : x
  2. Step 2: Convert to fraction form
    4,966.04/7,478.60 = 4,324.52/x
  3. Step 3: Cross multiply
    4,966.04x = 7,478.60 × 4,324.52
  4. Step 4: Simplify right side
    4,966.04x = 32,341,355.27
  5. Step 5: Solve for x
    x = 32,341,355.27/4,966.04
  6. Step 6: Final answer
    x = 6,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.