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Finding the Fourth Proportional to 3,806.16, 5,256.10 and 3,599.08

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Solution

The fourth proportional to 3,806.16, 5,256.10 and 3,599.08 is: 4,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.16 : 5,256.10 = 3,599.08 : x
  2. Step 2: Convert to fraction form
    3,806.16/5,256.10 = 3,599.08/x
  3. Step 3: Cross multiply
    3,806.16x = 5,256.10 × 3,599.08
  4. Step 4: Simplify right side
    3,806.16x = 18,917,124.39
  5. Step 5: Solve for x
    x = 18,917,124.39/3,806.16
  6. Step 6: Final answer
    x = 4,970.13

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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.