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Finding the Fourth Proportional to 4,294.36, 5,924.82 and 2,405.65

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Solution

The fourth proportional to 4,294.36, 5,924.82 and 2,405.65 is: 3,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.36 : 5,924.82 = 2,405.65 : x
  2. Step 2: Convert to fraction form
    4,294.36/5,924.82 = 2,405.65/x
  3. Step 3: Cross multiply
    4,294.36x = 5,924.82 × 2,405.65
  4. Step 4: Simplify right side
    4,294.36x = 14,253,043.23
  5. Step 5: Solve for x
    x = 14,253,043.23/4,294.36
  6. Step 6: Final answer
    x = 3,319.01

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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.