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Finding the Fourth Proportional to 4,807.02, 7,208.04 and 2,833.22

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Solution

The fourth proportional to 4,807.02, 7,208.04 and 2,833.22 is: 4,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.02 : 7,208.04 = 2,833.22 : x
  2. Step 2: Convert to fraction form
    4,807.02/7,208.04 = 2,833.22/x
  3. Step 3: Cross multiply
    4,807.02x = 7,208.04 × 2,833.22
  4. Step 4: Simplify right side
    4,807.02x = 20,421,963.09
  5. Step 5: Solve for x
    x = 20,421,963.09/4,807.02
  6. Step 6: Final answer
    x = 4,248.36

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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.