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Finding the Fourth Proportional to 4,657.77, 6,987.39 and 1,696.47

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Solution

The fourth proportional to 4,657.77, 6,987.39 and 1,696.47 is: 2,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.77 : 6,987.39 = 1,696.47 : x
  2. Step 2: Convert to fraction form
    4,657.77/6,987.39 = 1,696.47/x
  3. Step 3: Cross multiply
    4,657.77x = 6,987.39 × 1,696.47
  4. Step 4: Simplify right side
    4,657.77x = 11,853,897.51
  5. Step 5: Solve for x
    x = 11,853,897.51/4,657.77
  6. Step 6: Final answer
    x = 2,544.97

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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.