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Finding the Fourth Proportional to 5,498.53, 7,581.95 and 4,084.84

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Solution

The fourth proportional to 5,498.53, 7,581.95 and 4,084.84 is: 5,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.53 : 7,581.95 = 4,084.84 : x
  2. Step 2: Convert to fraction form
    5,498.53/7,581.95 = 4,084.84/x
  3. Step 3: Cross multiply
    5,498.53x = 7,581.95 × 4,084.84
  4. Step 4: Simplify right side
    5,498.53x = 30,971,002.19
  5. Step 5: Solve for x
    x = 30,971,002.19/5,498.53
  6. Step 6: Final answer
    x = 5,632.60

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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.