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Finding the Fourth Proportional to 4,822.65, 7,233.93 and 1,359.90

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Solution

The fourth proportional to 4,822.65, 7,233.93 and 1,359.90 is: 2,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.65 : 7,233.93 = 1,359.90 : x
  2. Step 2: Convert to fraction form
    4,822.65/7,233.93 = 1,359.90/x
  3. Step 3: Cross multiply
    4,822.65x = 7,233.93 × 1,359.90
  4. Step 4: Simplify right side
    4,822.65x = 9,837,421.41
  5. Step 5: Solve for x
    x = 9,837,421.41/4,822.65
  6. Step 6: Final answer
    x = 2,039.84

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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.