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Finding the Fourth Proportional to 5,128.78, 7,693.18 and 1,233.18

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Solution

The fourth proportional to 5,128.78, 7,693.18 and 1,233.18 is: 1,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.78 : 7,693.18 = 1,233.18 : x
  2. Step 2: Convert to fraction form
    5,128.78/7,693.18 = 1,233.18/x
  3. Step 3: Cross multiply
    5,128.78x = 7,693.18 × 1,233.18
  4. Step 4: Simplify right side
    5,128.78x = 9,487,075.71
  5. Step 5: Solve for x
    x = 9,487,075.71/5,128.78
  6. Step 6: Final answer
    x = 1,849.77

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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.