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Finding the Fourth Proportional to 3,412.42, 4,703.66 and 2,548.68

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Solution

The fourth proportional to 3,412.42, 4,703.66 and 2,548.68 is: 3,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.42 : 4,703.66 = 2,548.68 : x
  2. Step 2: Convert to fraction form
    3,412.42/4,703.66 = 2,548.68/x
  3. Step 3: Cross multiply
    3,412.42x = 4,703.66 × 2,548.68
  4. Step 4: Simplify right side
    3,412.42x = 11,988,124.17
  5. Step 5: Solve for x
    x = 11,988,124.17/3,412.42
  6. Step 6: Final answer
    x = 3,513.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.