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Finding the Fourth Proportional to 5,698.74, 7,868.46 and 3,710.38

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Solution

The fourth proportional to 5,698.74, 7,868.46 and 3,710.38 is: 5,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.74 : 7,868.46 = 3,710.38 : x
  2. Step 2: Convert to fraction form
    5,698.74/7,868.46 = 3,710.38/x
  3. Step 3: Cross multiply
    5,698.74x = 7,868.46 × 3,710.38
  4. Step 4: Simplify right side
    5,698.74x = 29,194,976.61
  5. Step 5: Solve for x
    x = 29,194,976.61/5,698.74
  6. Step 6: Final answer
    x = 5,123.06

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1.5x scale

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.