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Finding the Fourth Proportional to 4,322.13, 6,484.26 and 1,549

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Solution

The fourth proportional to 4,322.13, 6,484.26 and 1,549 is: 2,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.13 : 6,484.26 = 1,549 : x
  2. Step 2: Convert to fraction form
    4,322.13/6,484.26 = 1,549/x
  3. Step 3: Cross multiply
    4,322.13x = 6,484.26 × 1,549
  4. Step 4: Simplify right side
    4,322.13x = 10,044,118.74
  5. Step 5: Solve for x
    x = 10,044,118.74/4,322.13
  6. Step 6: Final answer
    x = 2,323.88

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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.