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Finding the Fourth Proportional to 5,701.85, 7,867.85 and 3,184.10

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Solution

The fourth proportional to 5,701.85, 7,867.85 and 3,184.10 is: 4,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.85 : 7,867.85 = 3,184.10 : x
  2. Step 2: Convert to fraction form
    5,701.85/7,867.85 = 3,184.10/x
  3. Step 3: Cross multiply
    5,701.85x = 7,867.85 × 3,184.10
  4. Step 4: Simplify right side
    5,701.85x = 25,051,981.85
  5. Step 5: Solve for x
    x = 25,051,981.85/5,701.85
  6. Step 6: Final answer
    x = 4,393.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.