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Finding the Fourth Proportional to 5,552, 7,661.76 and 3,034.16

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Solution

The fourth proportional to 5,552, 7,661.76 and 3,034.16 is: 4,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552 : 7,661.76 = 3,034.16 : x
  2. Step 2: Convert to fraction form
    5,552/7,661.76 = 3,034.16/x
  3. Step 3: Cross multiply
    5,552x = 7,661.76 × 3,034.16
  4. Step 4: Simplify right side
    5,552x = 23,247,005.72
  5. Step 5: Solve for x
    x = 23,247,005.72/5,552
  6. Step 6: Final answer
    x = 4,187.14

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Why These Related Problems?

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