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Finding the Fourth Proportional to 3,534.69, 4,878.54 and 2,043.29

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Solution

The fourth proportional to 3,534.69, 4,878.54 and 2,043.29 is: 2,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.69 : 4,878.54 = 2,043.29 : x
  2. Step 2: Convert to fraction form
    3,534.69/4,878.54 = 2,043.29/x
  3. Step 3: Cross multiply
    3,534.69x = 4,878.54 × 2,043.29
  4. Step 4: Simplify right side
    3,534.69x = 9,968,247.60
  5. Step 5: Solve for x
    x = 9,968,247.60/3,534.69
  6. Step 6: Final answer
    x = 2,820.12

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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.