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Finding the Fourth Proportional to 3,622.59, 5,432.05 and 1,770.93

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Solution

The fourth proportional to 3,622.59, 5,432.05 and 1,770.93 is: 2,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.59 : 5,432.05 = 1,770.93 : x
  2. Step 2: Convert to fraction form
    3,622.59/5,432.05 = 1,770.93/x
  3. Step 3: Cross multiply
    3,622.59x = 5,432.05 × 1,770.93
  4. Step 4: Simplify right side
    3,622.59x = 9,619,780.31
  5. Step 5: Solve for x
    x = 9,619,780.31/3,622.59
  6. Step 6: Final answer
    x = 2,655.50

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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.