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Finding the Fourth Proportional to 6,098.04, 8,420.40 and 4,115.16

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Solution

The fourth proportional to 6,098.04, 8,420.40 and 4,115.16 is: 5,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.04 : 8,420.40 = 4,115.16 : x
  2. Step 2: Convert to fraction form
    6,098.04/8,420.40 = 4,115.16/x
  3. Step 3: Cross multiply
    6,098.04x = 8,420.40 × 4,115.16
  4. Step 4: Simplify right side
    6,098.04x = 34,651,293.26
  5. Step 5: Solve for x
    x = 34,651,293.26/6,098.04
  6. Step 6: Final answer
    x = 5,682.37

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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.