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Finding the Fourth Proportional to 4,643.50, 6,957.15 and 3,868.48

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Solution

The fourth proportional to 4,643.50, 6,957.15 and 3,868.48 is: 5,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.50 : 6,957.15 = 3,868.48 : x
  2. Step 2: Convert to fraction form
    4,643.50/6,957.15 = 3,868.48/x
  3. Step 3: Cross multiply
    4,643.50x = 6,957.15 × 3,868.48
  4. Step 4: Simplify right side
    4,643.50x = 26,913,595.63
  5. Step 5: Solve for x
    x = 26,913,595.63/4,643.50
  6. Step 6: Final answer
    x = 5,795.97

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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.