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Finding the Fourth Proportional to 4,256.16, 5,874 and 2,392.80

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Solution

The fourth proportional to 4,256.16, 5,874 and 2,392.80 is: 3,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.16 : 5,874 = 2,392.80 : x
  2. Step 2: Convert to fraction form
    4,256.16/5,874 = 2,392.80/x
  3. Step 3: Cross multiply
    4,256.16x = 5,874 × 2,392.80
  4. Step 4: Simplify right side
    4,256.16x = 14,055,307.20
  5. Step 5: Solve for x
    x = 14,055,307.20/4,256.16
  6. Step 6: Final answer
    x = 3,302.34

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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.