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Finding the Fourth Proportional to 3,456.96, 4,767.84 and 2,904

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Solution

The fourth proportional to 3,456.96, 4,767.84 and 2,904 is: 4,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.96 : 4,767.84 = 2,904 : x
  2. Step 2: Convert to fraction form
    3,456.96/4,767.84 = 2,904/x
  3. Step 3: Cross multiply
    3,456.96x = 4,767.84 × 2,904
  4. Step 4: Simplify right side
    3,456.96x = 13,845,807.36
  5. Step 5: Solve for x
    x = 13,845,807.36/3,456.96
  6. Step 6: Final answer
    x = 4,005.20

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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.