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Finding the Fourth Proportional to 3,838.48, 5,297 and 2,160.08

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Solution

The fourth proportional to 3,838.48, 5,297 and 2,160.08 is: 2,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.48 : 5,297 = 2,160.08 : x
  2. Step 2: Convert to fraction form
    3,838.48/5,297 = 2,160.08/x
  3. Step 3: Cross multiply
    3,838.48x = 5,297 × 2,160.08
  4. Step 4: Simplify right side
    3,838.48x = 11,441,943.76
  5. Step 5: Solve for x
    x = 11,441,943.76/3,838.48
  6. Step 6: Final answer
    x = 2,980.85

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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.