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Finding the Fourth Proportional to 3,295.53, 4,547.41 and 1,969.02

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Solution

The fourth proportional to 3,295.53, 4,547.41 and 1,969.02 is: 2,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.53 : 4,547.41 = 1,969.02 : x
  2. Step 2: Convert to fraction form
    3,295.53/4,547.41 = 1,969.02/x
  3. Step 3: Cross multiply
    3,295.53x = 4,547.41 × 1,969.02
  4. Step 4: Simplify right side
    3,295.53x = 8,953,936.32
  5. Step 5: Solve for x
    x = 8,953,936.32/3,295.53
  6. Step 6: Final answer
    x = 2,716.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.