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Finding the Fourth Proportional to 4,307.65, 6,447.30 and 3,521.41

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Solution

The fourth proportional to 4,307.65, 6,447.30 and 3,521.41 is: 5,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.65 : 6,447.30 = 3,521.41 : x
  2. Step 2: Convert to fraction form
    4,307.65/6,447.30 = 3,521.41/x
  3. Step 3: Cross multiply
    4,307.65x = 6,447.30 × 3,521.41
  4. Step 4: Simplify right side
    4,307.65x = 22,703,586.69
  5. Step 5: Solve for x
    x = 22,703,586.69/4,307.65
  6. Step 6: Final answer
    x = 5,270.53

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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.