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Finding the Fourth Proportional to 3,807.60, 5,711.39 and 1,210.53

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Solution

The fourth proportional to 3,807.60, 5,711.39 and 1,210.53 is: 1,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.60 : 5,711.39 = 1,210.53 : x
  2. Step 2: Convert to fraction form
    3,807.60/5,711.39 = 1,210.53/x
  3. Step 3: Cross multiply
    3,807.60x = 5,711.39 × 1,210.53
  4. Step 4: Simplify right side
    3,807.60x = 6,913,808.94
  5. Step 5: Solve for x
    x = 6,913,808.94/3,807.60
  6. Step 6: Final answer
    x = 1,815.79

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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.