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Finding the Fourth Proportional to 5,414.51, 7,469.80 and 3,646.68

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Solution

The fourth proportional to 5,414.51, 7,469.80 and 3,646.68 is: 5,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.51 : 7,469.80 = 3,646.68 : x
  2. Step 2: Convert to fraction form
    5,414.51/7,469.80 = 3,646.68/x
  3. Step 3: Cross multiply
    5,414.51x = 7,469.80 × 3,646.68
  4. Step 4: Simplify right side
    5,414.51x = 27,239,970.26
  5. Step 5: Solve for x
    x = 27,239,970.26/5,414.51
  6. Step 6: Final answer
    x = 5,030.92

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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.