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Finding the Fourth Proportional to 5,191.32, 7,783.84 and 2,071.80

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Solution

The fourth proportional to 5,191.32, 7,783.84 and 2,071.80 is: 3,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.32 : 7,783.84 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    5,191.32/7,783.84 = 2,071.80/x
  3. Step 3: Cross multiply
    5,191.32x = 7,783.84 × 2,071.80
  4. Step 4: Simplify right side
    5,191.32x = 16,126,559.71
  5. Step 5: Solve for x
    x = 16,126,559.71/5,191.32
  6. Step 6: Final answer
    x = 3,106.45

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