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Finding the Fourth Proportional to 3,852.01, 5,776.19 and 1,386.17

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Solution

The fourth proportional to 3,852.01, 5,776.19 and 1,386.17 is: 2,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.01 : 5,776.19 = 1,386.17 : x
  2. Step 2: Convert to fraction form
    3,852.01/5,776.19 = 1,386.17/x
  3. Step 3: Cross multiply
    3,852.01x = 5,776.19 × 1,386.17
  4. Step 4: Simplify right side
    3,852.01x = 8,006,781.29
  5. Step 5: Solve for x
    x = 8,006,781.29/3,852.01
  6. Step 6: Final answer
    x = 2,078.60

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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.