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Finding the Fourth Proportional to 2,903.01, 4,014.02 and 2,856.11

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Solution

The fourth proportional to 2,903.01, 4,014.02 and 2,856.11 is: 3,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.01 : 4,014.02 = 2,856.11 : x
  2. Step 2: Convert to fraction form
    2,903.01/4,014.02 = 2,856.11/x
  3. Step 3: Cross multiply
    2,903.01x = 4,014.02 × 2,856.11
  4. Step 4: Simplify right side
    2,903.01x = 11,464,469.23
  5. Step 5: Solve for x
    x = 11,464,469.23/2,903.01
  6. Step 6: Final answer
    x = 3,949.16

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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.