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Finding the Fourth Proportional to 3,871.12, 5,810.78 and 2,411.30

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Solution

The fourth proportional to 3,871.12, 5,810.78 and 2,411.30 is: 3,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.12 : 5,810.78 = 2,411.30 : x
  2. Step 2: Convert to fraction form
    3,871.12/5,810.78 = 2,411.30/x
  3. Step 3: Cross multiply
    3,871.12x = 5,810.78 × 2,411.30
  4. Step 4: Simplify right side
    3,871.12x = 14,011,533.81
  5. Step 5: Solve for x
    x = 14,011,533.81/3,871.12
  6. Step 6: Final answer
    x = 3,619.50

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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.