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Finding the Fourth Proportional to 5,710.40, 7,881.38 and 3,320.70

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Solution

The fourth proportional to 5,710.40, 7,881.38 and 3,320.70 is: 4,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.40 : 7,881.38 = 3,320.70 : x
  2. Step 2: Convert to fraction form
    5,710.40/7,881.38 = 3,320.70/x
  3. Step 3: Cross multiply
    5,710.40x = 7,881.38 × 3,320.70
  4. Step 4: Simplify right side
    5,710.40x = 26,171,698.57
  5. Step 5: Solve for x
    x = 26,171,698.57/5,710.40
  6. Step 6: Final answer
    x = 4,583.16

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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.