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Finding the Fourth Proportional to 3,017.20, 4,087.80 and 3,017.20

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Solution

The fourth proportional to 3,017.20, 4,087.80 and 3,017.20 is: 4,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.20 : 4,087.80 = 3,017.20 : x
  2. Step 2: Convert to fraction form
    3,017.20/4,087.80 = 3,017.20/x
  3. Step 3: Cross multiply
    3,017.20x = 4,087.80 × 3,017.20
  4. Step 4: Simplify right side
    3,017.20x = 12,333,710.16
  5. Step 5: Solve for x
    x = 12,333,710.16/3,017.20
  6. Step 6: Final answer
    x = 4,087.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.