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Finding the Fourth Proportional to 3,693.84, 5,098.13 and 3,527.76

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Solution

The fourth proportional to 3,693.84, 5,098.13 and 3,527.76 is: 4,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.84 : 5,098.13 = 3,527.76 : x
  2. Step 2: Convert to fraction form
    3,693.84/5,098.13 = 3,527.76/x
  3. Step 3: Cross multiply
    3,693.84x = 5,098.13 × 3,527.76
  4. Step 4: Simplify right side
    3,693.84x = 17,984,987.91
  5. Step 5: Solve for x
    x = 17,984,987.91/3,693.84
  6. Step 6: Final answer
    x = 4,868.91

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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.