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Finding the Fourth Proportional to 5,305.25, 7,954.95 and 3,641.33

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Solution

The fourth proportional to 5,305.25, 7,954.95 and 3,641.33 is: 5,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.25 : 7,954.95 = 3,641.33 : x
  2. Step 2: Convert to fraction form
    5,305.25/7,954.95 = 3,641.33/x
  3. Step 3: Cross multiply
    5,305.25x = 7,954.95 × 3,641.33
  4. Step 4: Simplify right side
    5,305.25x = 28,966,598.08
  5. Step 5: Solve for x
    x = 28,966,598.08/5,305.25
  6. Step 6: Final answer
    x = 5,459.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.