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Finding the Fourth Proportional to 5,498.58, 7,588.44 and 3,140.94

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Solution

The fourth proportional to 5,498.58, 7,588.44 and 3,140.94 is: 4,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.58 : 7,588.44 = 3,140.94 : x
  2. Step 2: Convert to fraction form
    5,498.58/7,588.44 = 3,140.94/x
  3. Step 3: Cross multiply
    5,498.58x = 7,588.44 × 3,140.94
  4. Step 4: Simplify right side
    5,498.58x = 23,834,834.73
  5. Step 5: Solve for x
    x = 23,834,834.73/5,498.58
  6. Step 6: Final answer
    x = 4,334.73

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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.