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Finding the Fourth Proportional to 3,458.80, 5,188.12 and 993.56

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Solution

The fourth proportional to 3,458.80, 5,188.12 and 993.56 is: 1,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.80 : 5,188.12 = 993.56 : x
  2. Step 2: Convert to fraction form
    3,458.80/5,188.12 = 993.56/x
  3. Step 3: Cross multiply
    3,458.80x = 5,188.12 × 993.56
  4. Step 4: Simplify right side
    3,458.80x = 5,154,708.51
  5. Step 5: Solve for x
    x = 5,154,708.51/3,458.80
  6. Step 6: Final answer
    x = 1,490.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.