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Finding the Fourth Proportional to 4,650.58, 6,974.25 and 1,529.74

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Solution

The fourth proportional to 4,650.58, 6,974.25 and 1,529.74 is: 2,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.58 : 6,974.25 = 1,529.74 : x
  2. Step 2: Convert to fraction form
    4,650.58/6,974.25 = 1,529.74/x
  3. Step 3: Cross multiply
    4,650.58x = 6,974.25 × 1,529.74
  4. Step 4: Simplify right side
    4,650.58x = 10,668,789.20
  5. Step 5: Solve for x
    x = 10,668,789.20/4,650.58
  6. Step 6: Final answer
    x = 2,294.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.