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Finding the Fourth Proportional to 5,530.57, 7,632.22 and 3,140.46

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Solution

The fourth proportional to 5,530.57, 7,632.22 and 3,140.46 is: 4,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.57 : 7,632.22 = 3,140.46 : x
  2. Step 2: Convert to fraction form
    5,530.57/7,632.22 = 3,140.46/x
  3. Step 3: Cross multiply
    5,530.57x = 7,632.22 × 3,140.46
  4. Step 4: Simplify right side
    5,530.57x = 23,968,681.62
  5. Step 5: Solve for x
    x = 23,968,681.62/5,530.57
  6. Step 6: Final answer
    x = 4,333.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.