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Finding the Fourth Proportional to 5,187.04, 7,780.40 and 1,724.32

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Solution

The fourth proportional to 5,187.04, 7,780.40 and 1,724.32 is: 2,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.04 : 7,780.40 = 1,724.32 : x
  2. Step 2: Convert to fraction form
    5,187.04/7,780.40 = 1,724.32/x
  3. Step 3: Cross multiply
    5,187.04x = 7,780.40 × 1,724.32
  4. Step 4: Simplify right side
    5,187.04x = 13,415,899.33
  5. Step 5: Solve for x
    x = 13,415,899.33/5,187.04
  6. Step 6: Final answer
    x = 2,586.43

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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.