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Finding the Fourth Proportional to 4,196.93, 6,296.01 and 1,275.46

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Solution

The fourth proportional to 4,196.93, 6,296.01 and 1,275.46 is: 1,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.93 : 6,296.01 = 1,275.46 : x
  2. Step 2: Convert to fraction form
    4,196.93/6,296.01 = 1,275.46/x
  3. Step 3: Cross multiply
    4,196.93x = 6,296.01 × 1,275.46
  4. Step 4: Simplify right side
    4,196.93x = 8,030,293.17
  5. Step 5: Solve for x
    x = 8,030,293.17/4,196.93
  6. Step 6: Final answer
    x = 1,913.38

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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.