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Finding the Fourth Proportional to 5,549.48, 8,322.48 and 1,600.46

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Solution

The fourth proportional to 5,549.48, 8,322.48 and 1,600.46 is: 2,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.48 : 8,322.48 = 1,600.46 : x
  2. Step 2: Convert to fraction form
    5,549.48/8,322.48 = 1,600.46/x
  3. Step 3: Cross multiply
    5,549.48x = 8,322.48 × 1,600.46
  4. Step 4: Simplify right side
    5,549.48x = 13,319,796.34
  5. Step 5: Solve for x
    x = 13,319,796.34/5,549.48
  6. Step 6: Final answer
    x = 2,400.19

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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.