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Finding the Fourth Proportional to 3,808.16, 5,711.02 and 1,210.49

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Solution

The fourth proportional to 3,808.16, 5,711.02 and 1,210.49 is: 1,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.16 : 5,711.02 = 1,210.49 : x
  2. Step 2: Convert to fraction form
    3,808.16/5,711.02 = 1,210.49/x
  3. Step 3: Cross multiply
    3,808.16x = 5,711.02 × 1,210.49
  4. Step 4: Simplify right side
    3,808.16x = 6,913,129.57
  5. Step 5: Solve for x
    x = 6,913,129.57/3,808.16
  6. Step 6: Final answer
    x = 1,815.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.