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Finding the Fourth Proportional to 5,228.40, 7,215.10 and 2,870.40

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Solution

The fourth proportional to 5,228.40, 7,215.10 and 2,870.40 is: 3,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.40 : 7,215.10 = 2,870.40 : x
  2. Step 2: Convert to fraction form
    5,228.40/7,215.10 = 2,870.40/x
  3. Step 3: Cross multiply
    5,228.40x = 7,215.10 × 2,870.40
  4. Step 4: Simplify right side
    5,228.40x = 20,710,223.04
  5. Step 5: Solve for x
    x = 20,710,223.04/5,228.40
  6. Step 6: Final answer
    x = 3,961.10

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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.