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Finding the Fourth Proportional to 5,653.71, 7,801.20 and 3,295.44

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Solution

The fourth proportional to 5,653.71, 7,801.20 and 3,295.44 is: 4,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.71 : 7,801.20 = 3,295.44 : x
  2. Step 2: Convert to fraction form
    5,653.71/7,801.20 = 3,295.44/x
  3. Step 3: Cross multiply
    5,653.71x = 7,801.20 × 3,295.44
  4. Step 4: Simplify right side
    5,653.71x = 25,708,386.53
  5. Step 5: Solve for x
    x = 25,708,386.53/5,653.71
  6. Step 6: Final answer
    x = 4,547.17

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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.