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Finding the Fourth Proportional to 4,497.78, 6,744.24 and 1,535.34

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Solution

The fourth proportional to 4,497.78, 6,744.24 and 1,535.34 is: 2,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.78 : 6,744.24 = 1,535.34 : x
  2. Step 2: Convert to fraction form
    4,497.78/6,744.24 = 1,535.34/x
  3. Step 3: Cross multiply
    4,497.78x = 6,744.24 × 1,535.34
  4. Step 4: Simplify right side
    4,497.78x = 10,354,701.44
  5. Step 5: Solve for x
    x = 10,354,701.44/4,497.78
  6. Step 6: Final answer
    x = 2,302.18

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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.