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Finding the Fourth Proportional to 5,098.04, 7,644.40 and 2,323.40

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Solution

The fourth proportional to 5,098.04, 7,644.40 and 2,323.40 is: 3,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.04 : 7,644.40 = 2,323.40 : x
  2. Step 2: Convert to fraction form
    5,098.04/7,644.40 = 2,323.40/x
  3. Step 3: Cross multiply
    5,098.04x = 7,644.40 × 2,323.40
  4. Step 4: Simplify right side
    5,098.04x = 17,760,998.96
  5. Step 5: Solve for x
    x = 17,760,998.96/5,098.04
  6. Step 6: Final answer
    x = 3,483.89

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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.