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Finding the Fourth Proportional to 5,497.50, 7,586.58 and 3,260.50

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Solution

The fourth proportional to 5,497.50, 7,586.58 and 3,260.50 is: 4,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.50 : 7,586.58 = 3,260.50 : x
  2. Step 2: Convert to fraction form
    5,497.50/7,586.58 = 3,260.50/x
  3. Step 3: Cross multiply
    5,497.50x = 7,586.58 × 3,260.50
  4. Step 4: Simplify right side
    5,497.50x = 24,736,044.09
  5. Step 5: Solve for x
    x = 24,736,044.09/5,497.50
  6. Step 6: Final answer
    x = 4,499.51

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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.