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Finding the Fourth Proportional to 4,326.30, 5,970 and 2,437.65

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Solution

The fourth proportional to 4,326.30, 5,970 and 2,437.65 is: 3,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.30 : 5,970 = 2,437.65 : x
  2. Step 2: Convert to fraction form
    4,326.30/5,970 = 2,437.65/x
  3. Step 3: Cross multiply
    4,326.30x = 5,970 × 2,437.65
  4. Step 4: Simplify right side
    4,326.30x = 14,552,770.50
  5. Step 5: Solve for x
    x = 14,552,770.50/4,326.30
  6. Step 6: Final answer
    x = 3,363.79

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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.