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Finding the Fourth Proportional to 5,549, 8,298.46 and 4,233.16

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Solution

The fourth proportional to 5,549, 8,298.46 and 4,233.16 is: 6,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549 : 8,298.46 = 4,233.16 : x
  2. Step 2: Convert to fraction form
    5,549/8,298.46 = 4,233.16/x
  3. Step 3: Cross multiply
    5,549x = 8,298.46 × 4,233.16
  4. Step 4: Simplify right side
    5,549x = 35,128,708.93
  5. Step 5: Solve for x
    x = 35,128,708.93/5,549
  6. Step 6: Final answer
    x = 6,330.64

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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.