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Finding the Fourth Proportional to 4,711.62, 7,063.38 and 1,792.02

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Solution

The fourth proportional to 4,711.62, 7,063.38 and 1,792.02 is: 2,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.62 : 7,063.38 = 1,792.02 : x
  2. Step 2: Convert to fraction form
    4,711.62/7,063.38 = 1,792.02/x
  3. Step 3: Cross multiply
    4,711.62x = 7,063.38 × 1,792.02
  4. Step 4: Simplify right side
    4,711.62x = 12,657,718.23
  5. Step 5: Solve for x
    x = 12,657,718.23/4,711.62
  6. Step 6: Final answer
    x = 2,686.49

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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.