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Finding the Fourth Proportional to 3,655.61, 5,484.23 and 1,706.75

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Solution

The fourth proportional to 3,655.61, 5,484.23 and 1,706.75 is: 2,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.61 : 5,484.23 = 1,706.75 : x
  2. Step 2: Convert to fraction form
    3,655.61/5,484.23 = 1,706.75/x
  3. Step 3: Cross multiply
    3,655.61x = 5,484.23 × 1,706.75
  4. Step 4: Simplify right side
    3,655.61x = 9,360,201.02
  5. Step 5: Solve for x
    x = 9,360,201.02/3,655.61
  6. Step 6: Final answer
    x = 2,560.50

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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.