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Finding the Fourth Proportional to 3,646.49, 5,032.15 and 2,154.94

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Solution

The fourth proportional to 3,646.49, 5,032.15 and 2,154.94 is: 2,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.49 : 5,032.15 = 2,154.94 : x
  2. Step 2: Convert to fraction form
    3,646.49/5,032.15 = 2,154.94/x
  3. Step 3: Cross multiply
    3,646.49x = 5,032.15 × 2,154.94
  4. Step 4: Simplify right side
    3,646.49x = 10,843,963.35
  5. Step 5: Solve for x
    x = 10,843,963.35/3,646.49
  6. Step 6: Final answer
    x = 2,973.81

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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.