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Finding the Fourth Proportional to 3,549.76, 4,899.14 and 2,037.91

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Solution

The fourth proportional to 3,549.76, 4,899.14 and 2,037.91 is: 2,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.76 : 4,899.14 = 2,037.91 : x
  2. Step 2: Convert to fraction form
    3,549.76/4,899.14 = 2,037.91/x
  3. Step 3: Cross multiply
    3,549.76x = 4,899.14 × 2,037.91
  4. Step 4: Simplify right side
    3,549.76x = 9,984,006.40
  5. Step 5: Solve for x
    x = 9,984,006.40/3,549.76
  6. Step 6: Final answer
    x = 2,812.59

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1.5x scale

Why These Related Problems?

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