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Finding the Fourth Proportional to 3,622.42, 5,430.18 and 1,155.88

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Solution

The fourth proportional to 3,622.42, 5,430.18 and 1,155.88 is: 1,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.42 : 5,430.18 = 1,155.88 : x
  2. Step 2: Convert to fraction form
    3,622.42/5,430.18 = 1,155.88/x
  3. Step 3: Cross multiply
    3,622.42x = 5,430.18 × 1,155.88
  4. Step 4: Simplify right side
    3,622.42x = 6,276,636.46
  5. Step 5: Solve for x
    x = 6,276,636.46/3,622.42
  6. Step 6: Final answer
    x = 1,732.72

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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.