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Finding the Fourth Proportional to 5,686.64, 8,527.08 and 2,606

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Solution

The fourth proportional to 5,686.64, 8,527.08 and 2,606 is: 3,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.64 : 8,527.08 = 2,606 : x
  2. Step 2: Convert to fraction form
    5,686.64/8,527.08 = 2,606/x
  3. Step 3: Cross multiply
    5,686.64x = 8,527.08 × 2,606
  4. Step 4: Simplify right side
    5,686.64x = 22,221,570.48
  5. Step 5: Solve for x
    x = 22,221,570.48/5,686.64
  6. Step 6: Final answer
    x = 3,907.68

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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.