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Finding the Fourth Proportional to 5,342.32, 8,009.88 and 1,877.68

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Solution

The fourth proportional to 5,342.32, 8,009.88 and 1,877.68 is: 2,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.32 : 8,009.88 = 1,877.68 : x
  2. Step 2: Convert to fraction form
    5,342.32/8,009.88 = 1,877.68/x
  3. Step 3: Cross multiply
    5,342.32x = 8,009.88 × 1,877.68
  4. Step 4: Simplify right side
    5,342.32x = 15,039,991.48
  5. Step 5: Solve for x
    x = 15,039,991.48/5,342.32
  6. Step 6: Final answer
    x = 2,815.25

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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.