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Finding the Fourth Proportional to 4,710.47, 6,500.27 and 3,031.94

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Solution

The fourth proportional to 4,710.47, 6,500.27 and 3,031.94 is: 4,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.47 : 6,500.27 = 3,031.94 : x
  2. Step 2: Convert to fraction form
    4,710.47/6,500.27 = 3,031.94/x
  3. Step 3: Cross multiply
    4,710.47x = 6,500.27 × 3,031.94
  4. Step 4: Simplify right side
    4,710.47x = 19,708,452.45
  5. Step 5: Solve for x
    x = 19,708,452.45/4,710.47
  6. Step 6: Final answer
    x = 4,183.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.