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Finding the Fourth Proportional to 3,749.18, 5,624.10 and 975.84

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Solution

The fourth proportional to 3,749.18, 5,624.10 and 975.84 is: 1,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.18 : 5,624.10 = 975.84 : x
  2. Step 2: Convert to fraction form
    3,749.18/5,624.10 = 975.84/x
  3. Step 3: Cross multiply
    3,749.18x = 5,624.10 × 975.84
  4. Step 4: Simplify right side
    3,749.18x = 5,488,221.74
  5. Step 5: Solve for x
    x = 5,488,221.74/3,749.18
  6. Step 6: Final answer
    x = 1,463.85

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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.