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Finding the Fourth Proportional to 4,070.44, 6,106.10 and 1,296.46

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Solution

The fourth proportional to 4,070.44, 6,106.10 and 1,296.46 is: 1,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.44 : 6,106.10 = 1,296.46 : x
  2. Step 2: Convert to fraction form
    4,070.44/6,106.10 = 1,296.46/x
  3. Step 3: Cross multiply
    4,070.44x = 6,106.10 × 1,296.46
  4. Step 4: Simplify right side
    4,070.44x = 7,916,314.41
  5. Step 5: Solve for x
    x = 7,916,314.41/4,070.44
  6. Step 6: Final answer
    x = 1,944.83

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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.