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Finding the Fourth Proportional to 3,948.65, 5,923.80 and 1,316.05

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Solution

The fourth proportional to 3,948.65, 5,923.80 and 1,316.05 is: 1,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.65 : 5,923.80 = 1,316.05 : x
  2. Step 2: Convert to fraction form
    3,948.65/5,923.80 = 1,316.05/x
  3. Step 3: Cross multiply
    3,948.65x = 5,923.80 × 1,316.05
  4. Step 4: Simplify right side
    3,948.65x = 7,796,002.18
  5. Step 5: Solve for x
    x = 7,796,002.18/3,948.65
  6. Step 6: Final answer
    x = 1,974.35

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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.