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Finding the Fourth Proportional to 4,222.55, 5,827.12 and 2,359.55

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Solution

The fourth proportional to 4,222.55, 5,827.12 and 2,359.55 is: 3,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.55 : 5,827.12 = 2,359.55 : x
  2. Step 2: Convert to fraction form
    4,222.55/5,827.12 = 2,359.55/x
  3. Step 3: Cross multiply
    4,222.55x = 5,827.12 × 2,359.55
  4. Step 4: Simplify right side
    4,222.55x = 13,749,370.16
  5. Step 5: Solve for x
    x = 13,749,370.16/4,222.55
  6. Step 6: Final answer
    x = 3,256.18

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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.