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Finding the Fourth Proportional to 3,911.84, 5,897.36 and 3,700.16

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Solution

The fourth proportional to 3,911.84, 5,897.36 and 3,700.16 is: 5,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.84 : 5,897.36 = 3,700.16 : x
  2. Step 2: Convert to fraction form
    3,911.84/5,897.36 = 3,700.16/x
  3. Step 3: Cross multiply
    3,911.84x = 5,897.36 × 3,700.16
  4. Step 4: Simplify right side
    3,911.84x = 21,821,175.58
  5. Step 5: Solve for x
    x = 21,821,175.58/3,911.84
  6. Step 6: Final answer
    x = 5,578.24

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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.