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Finding the Fourth Proportional to 5,478.96, 7,558.84 and 3,489.16

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Solution

The fourth proportional to 5,478.96, 7,558.84 and 3,489.16 is: 4,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.96 : 7,558.84 = 3,489.16 : x
  2. Step 2: Convert to fraction form
    5,478.96/7,558.84 = 3,489.16/x
  3. Step 3: Cross multiply
    5,478.96x = 7,558.84 × 3,489.16
  4. Step 4: Simplify right side
    5,478.96x = 26,374,002.17
  5. Step 5: Solve for x
    x = 26,374,002.17/5,478.96
  6. Step 6: Final answer
    x = 4,813.69

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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.