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Finding the Fourth Proportional to 3,166.80, 4,750.20 and 975.53

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Solution

The fourth proportional to 3,166.80, 4,750.20 and 975.53 is: 1,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.80 : 4,750.20 = 975.53 : x
  2. Step 2: Convert to fraction form
    3,166.80/4,750.20 = 975.53/x
  3. Step 3: Cross multiply
    3,166.80x = 4,750.20 × 975.53
  4. Step 4: Simplify right side
    3,166.80x = 4,633,938.86
  5. Step 5: Solve for x
    x = 4,633,938.86/3,166.80
  6. Step 6: Final answer
    x = 1,463.29

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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.