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Finding the Fourth Proportional to 4,569.84, 6,308.82 and 3,573

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Solution

The fourth proportional to 4,569.84, 6,308.82 and 3,573 is: 4,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.84 : 6,308.82 = 3,573 : x
  2. Step 2: Convert to fraction form
    4,569.84/6,308.82 = 3,573/x
  3. Step 3: Cross multiply
    4,569.84x = 6,308.82 × 3,573
  4. Step 4: Simplify right side
    4,569.84x = 22,541,413.86
  5. Step 5: Solve for x
    x = 22,541,413.86/4,569.84
  6. Step 6: Final answer
    x = 4,932.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.