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Finding the Fourth Proportional to 4,856.58, 7,278.42 and 1,933.28

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Solution

The fourth proportional to 4,856.58, 7,278.42 and 1,933.28 is: 2,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.58 : 7,278.42 = 1,933.28 : x
  2. Step 2: Convert to fraction form
    4,856.58/7,278.42 = 1,933.28/x
  3. Step 3: Cross multiply
    4,856.58x = 7,278.42 × 1,933.28
  4. Step 4: Simplify right side
    4,856.58x = 14,071,223.82
  5. Step 5: Solve for x
    x = 14,071,223.82/4,856.58
  6. Step 6: Final answer
    x = 2,897.35

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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.