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Finding the Fourth Proportional to 4,322.43, 6,484.80 and 1,549.89

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Solution

The fourth proportional to 4,322.43, 6,484.80 and 1,549.89 is: 2,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.43 : 6,484.80 = 1,549.89 : x
  2. Step 2: Convert to fraction form
    4,322.43/6,484.80 = 1,549.89/x
  3. Step 3: Cross multiply
    4,322.43x = 6,484.80 × 1,549.89
  4. Step 4: Simplify right side
    4,322.43x = 10,050,726.67
  5. Step 5: Solve for x
    x = 10,050,726.67/4,322.43
  6. Step 6: Final answer
    x = 2,325.25

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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.