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Finding the Fourth Proportional to 4,698.13, 7,046.95 and 1,578.16

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Solution

The fourth proportional to 4,698.13, 7,046.95 and 1,578.16 is: 2,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.13 : 7,046.95 = 1,578.16 : x
  2. Step 2: Convert to fraction form
    4,698.13/7,046.95 = 1,578.16/x
  3. Step 3: Cross multiply
    4,698.13x = 7,046.95 × 1,578.16
  4. Step 4: Simplify right side
    4,698.13x = 11,121,202.61
  5. Step 5: Solve for x
    x = 11,121,202.61/4,698.13
  6. Step 6: Final answer
    x = 2,367.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.