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Finding the Fourth Proportional to 5,498.70, 7,588.18 and 2,980.87

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Solution

The fourth proportional to 5,498.70, 7,588.18 and 2,980.87 is: 4,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.70 : 7,588.18 = 2,980.87 : x
  2. Step 2: Convert to fraction form
    5,498.70/7,588.18 = 2,980.87/x
  3. Step 3: Cross multiply
    5,498.70x = 7,588.18 × 2,980.87
  4. Step 4: Simplify right side
    5,498.70x = 22,619,378.12
  5. Step 5: Solve for x
    x = 22,619,378.12/5,498.70
  6. Step 6: Final answer
    x = 4,113.59

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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.