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Finding the Fourth Proportional to 3,475.84, 4,796.68 and 1,903.94

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Solution

The fourth proportional to 3,475.84, 4,796.68 and 1,903.94 is: 2,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.84 : 4,796.68 = 1,903.94 : x
  2. Step 2: Convert to fraction form
    3,475.84/4,796.68 = 1,903.94/x
  3. Step 3: Cross multiply
    3,475.84x = 4,796.68 × 1,903.94
  4. Step 4: Simplify right side
    3,475.84x = 9,132,590.92
  5. Step 5: Solve for x
    x = 9,132,590.92/3,475.84
  6. Step 6: Final answer
    x = 2,627.45

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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.