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Finding the Fourth Proportional to 4,191.42, 5,784.40 and 2,328.42

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Solution

The fourth proportional to 4,191.42, 5,784.40 and 2,328.42 is: 3,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.42 : 5,784.40 = 2,328.42 : x
  2. Step 2: Convert to fraction form
    4,191.42/5,784.40 = 2,328.42/x
  3. Step 3: Cross multiply
    4,191.42x = 5,784.40 × 2,328.42
  4. Step 4: Simplify right side
    4,191.42x = 13,468,512.65
  5. Step 5: Solve for x
    x = 13,468,512.65/4,191.42
  6. Step 6: Final answer
    x = 3,213.35

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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.