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Finding the Fourth Proportional to 3,243.65, 4,870.33 and 3,130.25

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Solution

The fourth proportional to 3,243.65, 4,870.33 and 3,130.25 is: 4,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.65 : 4,870.33 = 3,130.25 : x
  2. Step 2: Convert to fraction form
    3,243.65/4,870.33 = 3,130.25/x
  3. Step 3: Cross multiply
    3,243.65x = 4,870.33 × 3,130.25
  4. Step 4: Simplify right side
    3,243.65x = 15,245,318.31
  5. Step 5: Solve for x
    x = 15,245,318.31/3,243.65
  6. Step 6: Final answer
    x = 4,700.06

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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.