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Finding the Fourth Proportional to 5,283.40, 7,920.15 and 1,998.70

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Solution

The fourth proportional to 5,283.40, 7,920.15 and 1,998.70 is: 2,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.40 : 7,920.15 = 1,998.70 : x
  2. Step 2: Convert to fraction form
    5,283.40/7,920.15 = 1,998.70/x
  3. Step 3: Cross multiply
    5,283.40x = 7,920.15 × 1,998.70
  4. Step 4: Simplify right side
    5,283.40x = 15,830,003.81
  5. Step 5: Solve for x
    x = 15,830,003.81/5,283.40
  6. Step 6: Final answer
    x = 2,996.18

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1.5x scale

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.