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Finding the Fourth Proportional to 5,498.82, 7,588.47 and 2,980.98

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Solution

The fourth proportional to 5,498.82, 7,588.47 and 2,980.98 is: 4,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.82 : 7,588.47 = 2,980.98 : x
  2. Step 2: Convert to fraction form
    5,498.82/7,588.47 = 2,980.98/x
  3. Step 3: Cross multiply
    5,498.82x = 7,588.47 × 2,980.98
  4. Step 4: Simplify right side
    5,498.82x = 22,621,077.30
  5. Step 5: Solve for x
    x = 22,621,077.30/5,498.82
  6. Step 6: Final answer
    x = 4,113.81

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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.