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Finding the Fourth Proportional to 4,184.65, 5,774.90 and 2,296.42

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Solution

The fourth proportional to 4,184.65, 5,774.90 and 2,296.42 is: 3,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.65 : 5,774.90 = 2,296.42 : x
  2. Step 2: Convert to fraction form
    4,184.65/5,774.90 = 2,296.42/x
  3. Step 3: Cross multiply
    4,184.65x = 5,774.90 × 2,296.42
  4. Step 4: Simplify right side
    4,184.65x = 13,261,569.94
  5. Step 5: Solve for x
    x = 13,261,569.94/4,184.65
  6. Step 6: Final answer
    x = 3,169.10

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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.