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Finding the Fourth Proportional to 4,572.99, 6,854.30 and 2,102.71

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Solution

The fourth proportional to 4,572.99, 6,854.30 and 2,102.71 is: 3,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.99 : 6,854.30 = 2,102.71 : x
  2. Step 2: Convert to fraction form
    4,572.99/6,854.30 = 2,102.71/x
  3. Step 3: Cross multiply
    4,572.99x = 6,854.30 × 2,102.71
  4. Step 4: Simplify right side
    4,572.99x = 14,412,570.88
  5. Step 5: Solve for x
    x = 14,412,570.88/4,572.99
  6. Step 6: Final answer
    x = 3,151.68

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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.