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Finding the Fourth Proportional to 4,304.65, 6,460.43 and 2,225.26

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Solution

The fourth proportional to 4,304.65, 6,460.43 and 2,225.26 is: 3,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.65 : 6,460.43 = 2,225.26 : x
  2. Step 2: Convert to fraction form
    4,304.65/6,460.43 = 2,225.26/x
  3. Step 3: Cross multiply
    4,304.65x = 6,460.43 × 2,225.26
  4. Step 4: Simplify right side
    4,304.65x = 14,376,158.18
  5. Step 5: Solve for x
    x = 14,376,158.18/4,304.65
  6. Step 6: Final answer
    x = 3,339.68

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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.