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Finding the Fourth Proportional to 5,484.90, 7,568.01 and 3,494.64

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Solution

The fourth proportional to 5,484.90, 7,568.01 and 3,494.64 is: 4,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.90 : 7,568.01 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    5,484.90/7,568.01 = 3,494.64/x
  3. Step 3: Cross multiply
    5,484.90x = 7,568.01 × 3,494.64
  4. Step 4: Simplify right side
    5,484.90x = 26,447,470.47
  5. Step 5: Solve for x
    x = 26,447,470.47/5,484.90
  6. Step 6: Final answer
    x = 4,821.87

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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.