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Finding the Fourth Proportional to 4,510.59, 6,764.51 and 1,737.05

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Solution

The fourth proportional to 4,510.59, 6,764.51 and 1,737.05 is: 2,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.59 : 6,764.51 = 1,737.05 : x
  2. Step 2: Convert to fraction form
    4,510.59/6,764.51 = 1,737.05/x
  3. Step 3: Cross multiply
    4,510.59x = 6,764.51 × 1,737.05
  4. Step 4: Simplify right side
    4,510.59x = 11,750,262.62
  5. Step 5: Solve for x
    x = 11,750,262.62/4,510.59
  6. Step 6: Final answer
    x = 2,605.04

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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.