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Finding the Fourth Proportional to 4,884.51, 6,741.71 and 3,470.25

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Solution

The fourth proportional to 4,884.51, 6,741.71 and 3,470.25 is: 4,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.51 : 6,741.71 = 3,470.25 : x
  2. Step 2: Convert to fraction form
    4,884.51/6,741.71 = 3,470.25/x
  3. Step 3: Cross multiply
    4,884.51x = 6,741.71 × 3,470.25
  4. Step 4: Simplify right side
    4,884.51x = 23,395,419.13
  5. Step 5: Solve for x
    x = 23,395,419.13/4,884.51
  6. Step 6: Final answer
    x = 4,789.72

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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.