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Finding the Fourth Proportional to 5,686.64, 8,530.73 and 1,988.00

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Solution

The fourth proportional to 5,686.64, 8,530.73 and 1,988.00 is: 2,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.64 : 8,530.73 = 1,988.00 : x
  2. Step 2: Convert to fraction form
    5,686.64/8,530.73 = 1,988.00/x
  3. Step 3: Cross multiply
    5,686.64x = 8,530.73 × 1,988.00
  4. Step 4: Simplify right side
    5,686.64x = 16,959,117.54
  5. Step 5: Solve for x
    x = 16,959,117.54/5,686.64
  6. Step 6: Final answer
    x = 2,982.27

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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.