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Finding the Fourth Proportional to 3,854.16, 5,784.63 and 2,006.52

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Solution

The fourth proportional to 3,854.16, 5,784.63 and 2,006.52 is: 3,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.16 : 5,784.63 = 2,006.52 : x
  2. Step 2: Convert to fraction form
    3,854.16/5,784.63 = 2,006.52/x
  3. Step 3: Cross multiply
    3,854.16x = 5,784.63 × 2,006.52
  4. Step 4: Simplify right side
    3,854.16x = 11,606,975.79
  5. Step 5: Solve for x
    x = 11,606,975.79/3,854.16
  6. Step 6: Final answer
    x = 3,011.54

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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.