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Finding the Fourth Proportional to 5,686.68, 8,530.81 and 1,988.07

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Solution

The fourth proportional to 5,686.68, 8,530.81 and 1,988.07 is: 2,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.68 : 8,530.81 = 1,988.07 : x
  2. Step 2: Convert to fraction form
    5,686.68/8,530.81 = 1,988.07/x
  3. Step 3: Cross multiply
    5,686.68x = 8,530.81 × 1,988.07
  4. Step 4: Simplify right side
    5,686.68x = 16,959,809.75
  5. Step 5: Solve for x
    x = 16,959,809.75/5,686.68
  6. Step 6: Final answer
    x = 2,982.38

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