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Finding the Fourth Proportional to 3,655.30, 5,483.77 and 1,706.44

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Solution

The fourth proportional to 3,655.30, 5,483.77 and 1,706.44 is: 2,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.30 : 5,483.77 = 1,706.44 : x
  2. Step 2: Convert to fraction form
    3,655.30/5,483.77 = 1,706.44/x
  3. Step 3: Cross multiply
    3,655.30x = 5,483.77 × 1,706.44
  4. Step 4: Simplify right side
    3,655.30x = 9,357,724.48
  5. Step 5: Solve for x
    x = 9,357,724.48/3,655.30
  6. Step 6: Final answer
    x = 2,560.04

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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.