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Finding the Fourth Proportional to 6,071.59, 9,100.09 and 3,298.15

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Solution

The fourth proportional to 6,071.59, 9,100.09 and 3,298.15 is: 4,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.59 : 9,100.09 = 3,298.15 : x
  2. Step 2: Convert to fraction form
    6,071.59/9,100.09 = 3,298.15/x
  3. Step 3: Cross multiply
    6,071.59x = 9,100.09 × 3,298.15
  4. Step 4: Simplify right side
    6,071.59x = 30,013,461.83
  5. Step 5: Solve for x
    x = 30,013,461.83/6,071.59
  6. Step 6: Final answer
    x = 4,943.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.