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Finding the Fourth Proportional to 4,437.74, 6,616.33 and 4,322.30

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Solution

The fourth proportional to 4,437.74, 6,616.33 and 4,322.30 is: 6,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.74 : 6,616.33 = 4,322.30 : x
  2. Step 2: Convert to fraction form
    4,437.74/6,616.33 = 4,322.30/x
  3. Step 3: Cross multiply
    4,437.74x = 6,616.33 × 4,322.30
  4. Step 4: Simplify right side
    4,437.74x = 28,597,763.16
  5. Step 5: Solve for x
    x = 28,597,763.16/4,437.74
  6. Step 6: Final answer
    x = 6,444.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.