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Finding the Fourth Proportional to 5,357.85, 7,998.40 and 4,657.41

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Solution

The fourth proportional to 5,357.85, 7,998.40 and 4,657.41 is: 6,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.85 : 7,998.40 = 4,657.41 : x
  2. Step 2: Convert to fraction form
    5,357.85/7,998.40 = 4,657.41/x
  3. Step 3: Cross multiply
    5,357.85x = 7,998.40 × 4,657.41
  4. Step 4: Simplify right side
    5,357.85x = 37,251,828.14
  5. Step 5: Solve for x
    x = 37,251,828.14/5,357.85
  6. Step 6: Final answer
    x = 6,952.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.