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Finding the Fourth Proportional to 3,498.64, 4,827.54 and 2,101.39

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Solution

The fourth proportional to 3,498.64, 4,827.54 and 2,101.39 is: 2,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.64 : 4,827.54 = 2,101.39 : x
  2. Step 2: Convert to fraction form
    3,498.64/4,827.54 = 2,101.39/x
  3. Step 3: Cross multiply
    3,498.64x = 4,827.54 × 2,101.39
  4. Step 4: Simplify right side
    3,498.64x = 10,144,544.28
  5. Step 5: Solve for x
    x = 10,144,544.28/3,498.64
  6. Step 6: Final answer
    x = 2,899.57

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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.