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Finding the Fourth Proportional to 5,494.59, 7,580.48 and 3,607.22

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Solution

The fourth proportional to 5,494.59, 7,580.48 and 3,607.22 is: 4,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.59 : 7,580.48 = 3,607.22 : x
  2. Step 2: Convert to fraction form
    5,494.59/7,580.48 = 3,607.22/x
  3. Step 3: Cross multiply
    5,494.59x = 7,580.48 × 3,607.22
  4. Step 4: Simplify right side
    5,494.59x = 27,344,459.98
  5. Step 5: Solve for x
    x = 27,344,459.98/5,494.59
  6. Step 6: Final answer
    x = 4,976.62

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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.