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Finding the Fourth Proportional to 3,475.12, 4,795.62 and 1,903.20

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Solution

The fourth proportional to 3,475.12, 4,795.62 and 1,903.20 is: 2,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.12 : 4,795.62 = 1,903.20 : x
  2. Step 2: Convert to fraction form
    3,475.12/4,795.62 = 1,903.20/x
  3. Step 3: Cross multiply
    3,475.12x = 4,795.62 × 1,903.20
  4. Step 4: Simplify right side
    3,475.12x = 9,127,023.98
  5. Step 5: Solve for x
    x = 9,127,023.98/3,475.12
  6. Step 6: Final answer
    x = 2,626.39

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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.