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Finding the Fourth Proportional to 4,857.78, 6,703.52 and 2,972.51

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Solution

The fourth proportional to 4,857.78, 6,703.52 and 2,972.51 is: 4,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.78 : 6,703.52 = 2,972.51 : x
  2. Step 2: Convert to fraction form
    4,857.78/6,703.52 = 2,972.51/x
  3. Step 3: Cross multiply
    4,857.78x = 6,703.52 × 2,972.51
  4. Step 4: Simplify right side
    4,857.78x = 19,926,280.24
  5. Step 5: Solve for x
    x = 19,926,280.24/4,857.78
  6. Step 6: Final answer
    x = 4,101.93

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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.