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Finding the Fourth Proportional to 3,852.04, 5,776.08 and 1,386.24

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Solution

The fourth proportional to 3,852.04, 5,776.08 and 1,386.24 is: 2,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.04 : 5,776.08 = 1,386.24 : x
  2. Step 2: Convert to fraction form
    3,852.04/5,776.08 = 1,386.24/x
  3. Step 3: Cross multiply
    3,852.04x = 5,776.08 × 1,386.24
  4. Step 4: Simplify right side
    3,852.04x = 8,007,033.14
  5. Step 5: Solve for x
    x = 8,007,033.14/3,852.04
  6. Step 6: Final answer
    x = 2,078.65

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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.