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Finding the Fourth Proportional to 5,654.80, 7,804.41 and 4,709.23

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Solution

The fourth proportional to 5,654.80, 7,804.41 and 4,709.23 is: 6,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.80 : 7,804.41 = 4,709.23 : x
  2. Step 2: Convert to fraction form
    5,654.80/7,804.41 = 4,709.23/x
  3. Step 3: Cross multiply
    5,654.80x = 7,804.41 × 4,709.23
  4. Step 4: Simplify right side
    5,654.80x = 36,752,761.70
  5. Step 5: Solve for x
    x = 36,752,761.70/5,654.80
  6. Step 6: Final answer
    x = 6,499.39

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1.5x scale

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.