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Finding the Fourth Proportional to 5,098.34, 7,033.11 and 3,002.06

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Solution

The fourth proportional to 5,098.34, 7,033.11 and 3,002.06 is: 4,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.34 : 7,033.11 = 3,002.06 : x
  2. Step 2: Convert to fraction form
    5,098.34/7,033.11 = 3,002.06/x
  3. Step 3: Cross multiply
    5,098.34x = 7,033.11 × 3,002.06
  4. Step 4: Simplify right side
    5,098.34x = 21,113,818.21
  5. Step 5: Solve for x
    x = 21,113,818.21/5,098.34
  6. Step 6: Final answer
    x = 4,141.31

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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.