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Finding the Fourth Proportional to 4,933.44, 7,400.16 and 1,854.72

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Solution

The fourth proportional to 4,933.44, 7,400.16 and 1,854.72 is: 2,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.44 : 7,400.16 = 1,854.72 : x
  2. Step 2: Convert to fraction form
    4,933.44/7,400.16 = 1,854.72/x
  3. Step 3: Cross multiply
    4,933.44x = 7,400.16 × 1,854.72
  4. Step 4: Simplify right side
    4,933.44x = 13,725,224.76
  5. Step 5: Solve for x
    x = 13,725,224.76/4,933.44
  6. Step 6: Final answer
    x = 2,782.08

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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.