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Finding the Fourth Proportional to 4,097.52, 5,653.85 and 2,328.78

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Solution

The fourth proportional to 4,097.52, 5,653.85 and 2,328.78 is: 3,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.52 : 5,653.85 = 2,328.78 : x
  2. Step 2: Convert to fraction form
    4,097.52/5,653.85 = 2,328.78/x
  3. Step 3: Cross multiply
    4,097.52x = 5,653.85 × 2,328.78
  4. Step 4: Simplify right side
    4,097.52x = 13,166,582.36
  5. Step 5: Solve for x
    x = 13,166,582.36/4,097.52
  6. Step 6: Final answer
    x = 3,213.31

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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.