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Finding the Fourth Proportional to 5,191.85, 7,783.14 and 1,904.18

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Solution

The fourth proportional to 5,191.85, 7,783.14 and 1,904.18 is: 2,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.85 : 7,783.14 = 1,904.18 : x
  2. Step 2: Convert to fraction form
    5,191.85/7,783.14 = 1,904.18/x
  3. Step 3: Cross multiply
    5,191.85x = 7,783.14 × 1,904.18
  4. Step 4: Simplify right side
    5,191.85x = 14,820,499.53
  5. Step 5: Solve for x
    x = 14,820,499.53/5,191.85
  6. Step 6: Final answer
    x = 2,854.57

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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.