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Finding the Fourth Proportional to 5,159.70, 7,740.63 and 1,696.50

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Solution

The fourth proportional to 5,159.70, 7,740.63 and 1,696.50 is: 2,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.70 : 7,740.63 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    5,159.70/7,740.63 = 1,696.50/x
  3. Step 3: Cross multiply
    5,159.70x = 7,740.63 × 1,696.50
  4. Step 4: Simplify right side
    5,159.70x = 13,131,978.80
  5. Step 5: Solve for x
    x = 13,131,978.80/5,159.70
  6. Step 6: Final answer
    x = 2,545.11

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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.