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Finding the Fourth Proportional to 5,498, 7,587.36 and 3,014

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Solution

The fourth proportional to 5,498, 7,587.36 and 3,014 is: 4,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498 : 7,587.36 = 3,014 : x
  2. Step 2: Convert to fraction form
    5,498/7,587.36 = 3,014/x
  3. Step 3: Cross multiply
    5,498x = 7,587.36 × 3,014
  4. Step 4: Simplify right side
    5,498x = 22,868,303.04
  5. Step 5: Solve for x
    x = 22,868,303.04/5,498
  6. Step 6: Final answer
    x = 4,159.39

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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.