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Finding the Fourth Proportional to 5,488, 7,574.40 and 3,280

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Solution

The fourth proportional to 5,488, 7,574.40 and 3,280 is: 4,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488 : 7,574.40 = 3,280 : x
  2. Step 2: Convert to fraction form
    5,488/7,574.40 = 3,280/x
  3. Step 3: Cross multiply
    5,488x = 7,574.40 × 3,280
  4. Step 4: Simplify right side
    5,488x = 24,844,032
  5. Step 5: Solve for x
    x = 24,844,032/5,488
  6. Step 6: Final answer
    x = 4,526.97

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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.