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Finding the Fourth Proportional to 4,423.61, 6,642.09 and 4,281.64

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Solution

The fourth proportional to 4,423.61, 6,642.09 and 4,281.64 is: 6,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.61 : 6,642.09 = 4,281.64 : x
  2. Step 2: Convert to fraction form
    4,423.61/6,642.09 = 4,281.64/x
  3. Step 3: Cross multiply
    4,423.61x = 6,642.09 × 4,281.64
  4. Step 4: Simplify right side
    4,423.61x = 28,439,021.62
  5. Step 5: Solve for x
    x = 28,439,021.62/4,423.61
  6. Step 6: Final answer
    x = 6,428.91

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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.