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Finding the Fourth Proportional to 4,405.66, 6,595.68 and 3,428.80

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Solution

The fourth proportional to 4,405.66, 6,595.68 and 3,428.80 is: 5,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.66 : 6,595.68 = 3,428.80 : x
  2. Step 2: Convert to fraction form
    4,405.66/6,595.68 = 3,428.80/x
  3. Step 3: Cross multiply
    4,405.66x = 6,595.68 × 3,428.80
  4. Step 4: Simplify right side
    4,405.66x = 22,615,234.61
  5. Step 5: Solve for x
    x = 22,615,234.61/4,405.66
  6. Step 6: Final answer
    x = 5,133.23

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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.