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Finding the Fourth Proportional to 5,848.48, 8,772.24 and 1,744.48

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Solution

The fourth proportional to 5,848.48, 8,772.24 and 1,744.48 is: 2,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.48 : 8,772.24 = 1,744.48 : x
  2. Step 2: Convert to fraction form
    5,848.48/8,772.24 = 1,744.48/x
  3. Step 3: Cross multiply
    5,848.48x = 8,772.24 × 1,744.48
  4. Step 4: Simplify right side
    5,848.48x = 15,302,997.24
  5. Step 5: Solve for x
    x = 15,302,997.24/5,848.48
  6. Step 6: Final answer
    x = 2,616.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.