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Finding the Fourth Proportional to 3,684.72, 5,554.86 and 3,434.16

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Solution

The fourth proportional to 3,684.72, 5,554.86 and 3,434.16 is: 5,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.72 : 5,554.86 = 3,434.16 : x
  2. Step 2: Convert to fraction form
    3,684.72/5,554.86 = 3,434.16/x
  3. Step 3: Cross multiply
    3,684.72x = 5,554.86 × 3,434.16
  4. Step 4: Simplify right side
    3,684.72x = 19,076,278.02
  5. Step 5: Solve for x
    x = 19,076,278.02/3,684.72
  6. Step 6: Final answer
    x = 5,177.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.