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Finding the Fourth Proportional to 4,274.88, 6,412.32 and 2,904

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Solution

The fourth proportional to 4,274.88, 6,412.32 and 2,904 is: 4,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.88 : 6,412.32 = 2,904 : x
  2. Step 2: Convert to fraction form
    4,274.88/6,412.32 = 2,904/x
  3. Step 3: Cross multiply
    4,274.88x = 6,412.32 × 2,904
  4. Step 4: Simplify right side
    4,274.88x = 18,621,377.28
  5. Step 5: Solve for x
    x = 18,621,377.28/4,274.88
  6. Step 6: Final answer
    x = 4,356.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.