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Finding the Fourth Proportional to 4,854.63, 6,700.62 and 2,865.83

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Solution

The fourth proportional to 4,854.63, 6,700.62 and 2,865.83 is: 3,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.63 : 6,700.62 = 2,865.83 : x
  2. Step 2: Convert to fraction form
    4,854.63/6,700.62 = 2,865.83/x
  3. Step 3: Cross multiply
    4,854.63x = 6,700.62 × 2,865.83
  4. Step 4: Simplify right side
    4,854.63x = 19,202,852.75
  5. Step 5: Solve for x
    x = 19,202,852.75/4,854.63
  6. Step 6: Final answer
    x = 3,955.57

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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.