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Finding the Fourth Proportional to 3,684.72, 5,079.52 and 2,897.40

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Solution

The fourth proportional to 3,684.72, 5,079.52 and 2,897.40 is: 3,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.72 : 5,079.52 = 2,897.40 : x
  2. Step 2: Convert to fraction form
    3,684.72/5,079.52 = 2,897.40/x
  3. Step 3: Cross multiply
    3,684.72x = 5,079.52 × 2,897.40
  4. Step 4: Simplify right side
    3,684.72x = 14,717,401.25
  5. Step 5: Solve for x
    x = 14,717,401.25/3,684.72
  6. Step 6: Final answer
    x = 3,994.17

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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.