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Finding the Fourth Proportional to 3,886.65, 5,373.95 and 3,394.58

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Solution

The fourth proportional to 3,886.65, 5,373.95 and 3,394.58 is: 4,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.65 : 5,373.95 = 3,394.58 : x
  2. Step 2: Convert to fraction form
    3,886.65/5,373.95 = 3,394.58/x
  3. Step 3: Cross multiply
    3,886.65x = 5,373.95 × 3,394.58
  4. Step 4: Simplify right side
    3,886.65x = 18,242,259.35
  5. Step 5: Solve for x
    x = 18,242,259.35/3,886.65
  6. Step 6: Final answer
    x = 4,693.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.