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Finding the Fourth Proportional to 5,291.40, 7,418.20 and 5,291.40

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Solution

The fourth proportional to 5,291.40, 7,418.20 and 5,291.40 is: 7,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.40 : 7,418.20 = 5,291.40 : x
  2. Step 2: Convert to fraction form
    5,291.40/7,418.20 = 5,291.40/x
  3. Step 3: Cross multiply
    5,291.40x = 7,418.20 × 5,291.40
  4. Step 4: Simplify right side
    5,291.40x = 39,252,663.48
  5. Step 5: Solve for x
    x = 39,252,663.48/5,291.40
  6. Step 6: Final answer
    x = 7,418.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.