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Finding the Fourth Proportional to 3,655.52, 5,484.09 and 1,706.66

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Solution

The fourth proportional to 3,655.52, 5,484.09 and 1,706.66 is: 2,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.52 : 5,484.09 = 1,706.66 : x
  2. Step 2: Convert to fraction form
    3,655.52/5,484.09 = 1,706.66/x
  3. Step 3: Cross multiply
    3,655.52x = 5,484.09 × 1,706.66
  4. Step 4: Simplify right side
    3,655.52x = 9,359,507.43
  5. Step 5: Solve for x
    x = 9,359,507.43/3,655.52
  6. Step 6: Final answer
    x = 2,560.37

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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.