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Finding the Fourth Proportional to 5,496.70, 7,585.44 and 2,978.88

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Solution

The fourth proportional to 5,496.70, 7,585.44 and 2,978.88 is: 4,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.70 : 7,585.44 = 2,978.88 : x
  2. Step 2: Convert to fraction form
    5,496.70/7,585.44 = 2,978.88/x
  3. Step 3: Cross multiply
    5,496.70x = 7,585.44 × 2,978.88
  4. Step 4: Simplify right side
    5,496.70x = 22,596,115.51
  5. Step 5: Solve for x
    x = 22,596,115.51/5,496.70
  6. Step 6: Final answer
    x = 4,110.85

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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.