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Finding the Fourth Proportional to 3,480.56, 4,802.86 and 1,988.47

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Solution

The fourth proportional to 3,480.56, 4,802.86 and 1,988.47 is: 2,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.56 : 4,802.86 = 1,988.47 : x
  2. Step 2: Convert to fraction form
    3,480.56/4,802.86 = 1,988.47/x
  3. Step 3: Cross multiply
    3,480.56x = 4,802.86 × 1,988.47
  4. Step 4: Simplify right side
    3,480.56x = 9,550,343.02
  5. Step 5: Solve for x
    x = 9,550,343.02/3,480.56
  6. Step 6: Final answer
    x = 2,743.91

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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.