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Finding the Fourth Proportional to 3,535.17, 4,867.43 and 3,002.93

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Solution

The fourth proportional to 3,535.17, 4,867.43 and 3,002.93 is: 4,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.17 : 4,867.43 = 3,002.93 : x
  2. Step 2: Convert to fraction form
    3,535.17/4,867.43 = 3,002.93/x
  3. Step 3: Cross multiply
    3,535.17x = 4,867.43 × 3,002.93
  4. Step 4: Simplify right side
    3,535.17x = 14,616,512.22
  5. Step 5: Solve for x
    x = 14,616,512.22/3,535.17
  6. Step 6: Final answer
    x = 4,134.60

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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.