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Finding the Fourth Proportional to 5,098.79, 7,648.20 and 2,323.57

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Solution

The fourth proportional to 5,098.79, 7,648.20 and 2,323.57 is: 3,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.79 : 7,648.20 = 2,323.57 : x
  2. Step 2: Convert to fraction form
    5,098.79/7,648.20 = 2,323.57/x
  3. Step 3: Cross multiply
    5,098.79x = 7,648.20 × 2,323.57
  4. Step 4: Simplify right side
    5,098.79x = 17,771,160.69
  5. Step 5: Solve for x
    x = 17,771,160.69/5,098.79
  6. Step 6: Final answer
    x = 3,485.37

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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.