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Finding the Fourth Proportional to 4,071.04, 6,107 and 1,296.74

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Solution

The fourth proportional to 4,071.04, 6,107 and 1,296.74 is: 1,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.04 : 6,107 = 1,296.74 : x
  2. Step 2: Convert to fraction form
    4,071.04/6,107 = 1,296.74/x
  3. Step 3: Cross multiply
    4,071.04x = 6,107 × 1,296.74
  4. Step 4: Simplify right side
    4,071.04x = 7,919,191.18
  5. Step 5: Solve for x
    x = 7,919,191.18/4,071.04
  6. Step 6: Final answer
    x = 1,945.25

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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.