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Finding the Fourth Proportional to 4,510.65, 6,766.01 and 3,421.74

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Solution

The fourth proportional to 4,510.65, 6,766.01 and 3,421.74 is: 5,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.65 : 6,766.01 = 3,421.74 : x
  2. Step 2: Convert to fraction form
    4,510.65/6,766.01 = 3,421.74/x
  3. Step 3: Cross multiply
    4,510.65x = 6,766.01 × 3,421.74
  4. Step 4: Simplify right side
    4,510.65x = 23,151,509.95
  5. Step 5: Solve for x
    x = 23,151,509.95/4,510.65
  6. Step 6: Final answer
    x = 5,132.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.