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Finding the Fourth Proportional to 5,296.58, 7,944.80 and 1,294.02

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Solution

The fourth proportional to 5,296.58, 7,944.80 and 1,294.02 is: 1,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.58 : 7,944.80 = 1,294.02 : x
  2. Step 2: Convert to fraction form
    5,296.58/7,944.80 = 1,294.02/x
  3. Step 3: Cross multiply
    5,296.58x = 7,944.80 × 1,294.02
  4. Step 4: Simplify right side
    5,296.58x = 10,280,730.10
  5. Step 5: Solve for x
    x = 10,280,730.10/5,296.58
  6. Step 6: Final answer
    x = 1,941.01

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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.