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Finding the Fourth Proportional to 3,803.51, 5,251.32 and 3,404.48

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Solution

The fourth proportional to 3,803.51, 5,251.32 and 3,404.48 is: 4,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.51 : 5,251.32 = 3,404.48 : x
  2. Step 2: Convert to fraction form
    3,803.51/5,251.32 = 3,404.48/x
  3. Step 3: Cross multiply
    3,803.51x = 5,251.32 × 3,404.48
  4. Step 4: Simplify right side
    3,803.51x = 17,878,013.91
  5. Step 5: Solve for x
    x = 17,878,013.91/3,803.51
  6. Step 6: Final answer
    x = 4,700.40

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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.