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Finding the Fourth Proportional to 3,572.30, 5,357.84 and 974.63

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Solution

The fourth proportional to 3,572.30, 5,357.84 and 974.63 is: 1,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.30 : 5,357.84 = 974.63 : x
  2. Step 2: Convert to fraction form
    3,572.30/5,357.84 = 974.63/x
  3. Step 3: Cross multiply
    3,572.30x = 5,357.84 × 974.63
  4. Step 4: Simplify right side
    3,572.30x = 5,221,879.94
  5. Step 5: Solve for x
    x = 5,221,879.94/3,572.30
  6. Step 6: Final answer
    x = 1,461.77

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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.