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Finding the Fourth Proportional to 3,808.04, 5,712.52 and 1,342.35

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Solution

The fourth proportional to 3,808.04, 5,712.52 and 1,342.35 is: 2,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.04 : 5,712.52 = 1,342.35 : x
  2. Step 2: Convert to fraction form
    3,808.04/5,712.52 = 1,342.35/x
  3. Step 3: Cross multiply
    3,808.04x = 5,712.52 × 1,342.35
  4. Step 4: Simplify right side
    3,808.04x = 7,668,194.51
  5. Step 5: Solve for x
    x = 7,668,194.51/3,808.04
  6. Step 6: Final answer
    x = 2,013.69

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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.