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Finding the Fourth Proportional to 5,948.17, 8,208.54 and 3,295.62

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Solution

The fourth proportional to 5,948.17, 8,208.54 and 3,295.62 is: 4,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.17 : 8,208.54 = 3,295.62 : x
  2. Step 2: Convert to fraction form
    5,948.17/8,208.54 = 3,295.62/x
  3. Step 3: Cross multiply
    5,948.17x = 8,208.54 × 3,295.62
  4. Step 4: Simplify right side
    5,948.17x = 27,052,228.59
  5. Step 5: Solve for x
    x = 27,052,228.59/5,948.17
  6. Step 6: Final answer
    x = 4,547.99

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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.