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Finding the Fourth Proportional to 4,038.54, 5,573.17 and 2,270.16

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Solution

The fourth proportional to 4,038.54, 5,573.17 and 2,270.16 is: 3,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.54 : 5,573.17 = 2,270.16 : x
  2. Step 2: Convert to fraction form
    4,038.54/5,573.17 = 2,270.16/x
  3. Step 3: Cross multiply
    4,038.54x = 5,573.17 × 2,270.16
  4. Step 4: Simplify right side
    4,038.54x = 12,651,981.93
  5. Step 5: Solve for x
    x = 12,651,981.93/4,038.54
  6. Step 6: Final answer
    x = 3,132.81

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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.