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Finding the Fourth Proportional to 4,349.65, 5,999.78 and 2,580

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Solution

The fourth proportional to 4,349.65, 5,999.78 and 2,580 is: 3,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.65 : 5,999.78 = 2,580 : x
  2. Step 2: Convert to fraction form
    4,349.65/5,999.78 = 2,580/x
  3. Step 3: Cross multiply
    4,349.65x = 5,999.78 × 2,580
  4. Step 4: Simplify right side
    4,349.65x = 15,479,432.40
  5. Step 5: Solve for x
    x = 15,479,432.40/4,349.65
  6. Step 6: Final answer
    x = 3,558.78

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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.