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Finding the Fourth Proportional to 3,405.61, 4,696.86 and 2,877.08

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Solution

The fourth proportional to 3,405.61, 4,696.86 and 2,877.08 is: 3,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.61 : 4,696.86 = 2,877.08 : x
  2. Step 2: Convert to fraction form
    3,405.61/4,696.86 = 2,877.08/x
  3. Step 3: Cross multiply
    3,405.61x = 4,696.86 × 2,877.08
  4. Step 4: Simplify right side
    3,405.61x = 13,513,241.97
  5. Step 5: Solve for x
    x = 13,513,241.97/3,405.61
  6. Step 6: Final answer
    x = 3,967.94

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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.