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Finding the Fourth Proportional to 4,782.66, 6,596.52 and 2,793.10

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Solution

The fourth proportional to 4,782.66, 6,596.52 and 2,793.10 is: 3,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.66 : 6,596.52 = 2,793.10 : x
  2. Step 2: Convert to fraction form
    4,782.66/6,596.52 = 2,793.10/x
  3. Step 3: Cross multiply
    4,782.66x = 6,596.52 × 2,793.10
  4. Step 4: Simplify right side
    4,782.66x = 18,424,740.01
  5. Step 5: Solve for x
    x = 18,424,740.01/4,782.66
  6. Step 6: Final answer
    x = 3,852.40

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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.