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Finding the Fourth Proportional to 5,480, 7,562.40 and 2,996

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Solution

The fourth proportional to 5,480, 7,562.40 and 2,996 is: 4,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480 : 7,562.40 = 2,996 : x
  2. Step 2: Convert to fraction form
    5,480/7,562.40 = 2,996/x
  3. Step 3: Cross multiply
    5,480x = 7,562.40 × 2,996
  4. Step 4: Simplify right side
    5,480x = 22,656,950.40
  5. Step 5: Solve for x
    x = 22,656,950.40/5,480
  6. Step 6: Final answer
    x = 4,134.48

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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.