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Finding the Fourth Proportional to 5,098.40, 7,648.31 and 1,588.67

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Solution

The fourth proportional to 5,098.40, 7,648.31 and 1,588.67 is: 2,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.40 : 7,648.31 = 1,588.67 : x
  2. Step 2: Convert to fraction form
    5,098.40/7,648.31 = 1,588.67/x
  3. Step 3: Cross multiply
    5,098.40x = 7,648.31 × 1,588.67
  4. Step 4: Simplify right side
    5,098.40x = 12,150,594.46
  5. Step 5: Solve for x
    x = 12,150,594.46/5,098.40
  6. Step 6: Final answer
    x = 2,383.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.