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Finding the Fourth Proportional to 4,807.66, 7,204.17 and 3,569.26

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Solution

The fourth proportional to 4,807.66, 7,204.17 and 3,569.26 is: 5,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.66 : 7,204.17 = 3,569.26 : x
  2. Step 2: Convert to fraction form
    4,807.66/7,204.17 = 3,569.26/x
  3. Step 3: Cross multiply
    4,807.66x = 7,204.17 × 3,569.26
  4. Step 4: Simplify right side
    4,807.66x = 25,713,555.81
  5. Step 5: Solve for x
    x = 25,713,555.81/4,807.66
  6. Step 6: Final answer
    x = 5,348.46

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Why These Related Problems?

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