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Finding the Fourth Proportional to 5,036.80, 7,553.04 and 2,569

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Solution

The fourth proportional to 5,036.80, 7,553.04 and 2,569 is: 3,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.80 : 7,553.04 = 2,569 : x
  2. Step 2: Convert to fraction form
    5,036.80/7,553.04 = 2,569/x
  3. Step 3: Cross multiply
    5,036.80x = 7,553.04 × 2,569
  4. Step 4: Simplify right side
    5,036.80x = 19,403,759.76
  5. Step 5: Solve for x
    x = 19,403,759.76/5,036.80
  6. Step 6: Final answer
    x = 3,852.40

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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.