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Finding the Fourth Proportional to 4,685.69, 6,465.44 and 2,894.18

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Solution

The fourth proportional to 4,685.69, 6,465.44 and 2,894.18 is: 3,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.69 : 6,465.44 = 2,894.18 : x
  2. Step 2: Convert to fraction form
    4,685.69/6,465.44 = 2,894.18/x
  3. Step 3: Cross multiply
    4,685.69x = 6,465.44 × 2,894.18
  4. Step 4: Simplify right side
    4,685.69x = 18,712,122.05
  5. Step 5: Solve for x
    x = 18,712,122.05/4,685.69
  6. Step 6: Final answer
    x = 3,993.46

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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.