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Finding the Fourth Proportional to 4,569.34, 6,305.69 and 2,473.47

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Solution

The fourth proportional to 4,569.34, 6,305.69 and 2,473.47 is: 3,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.34 : 6,305.69 = 2,473.47 : x
  2. Step 2: Convert to fraction form
    4,569.34/6,305.69 = 2,473.47/x
  3. Step 3: Cross multiply
    4,569.34x = 6,305.69 × 2,473.47
  4. Step 4: Simplify right side
    4,569.34x = 15,596,891.15
  5. Step 5: Solve for x
    x = 15,596,891.15/4,569.34
  6. Step 6: Final answer
    x = 3,413.38

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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.