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Finding the Fourth Proportional to 5,296.34, 7,307.98 and 3,057.40

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Solution

The fourth proportional to 5,296.34, 7,307.98 and 3,057.40 is: 4,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.34 : 7,307.98 = 3,057.40 : x
  2. Step 2: Convert to fraction form
    5,296.34/7,307.98 = 3,057.40/x
  3. Step 3: Cross multiply
    5,296.34x = 7,307.98 × 3,057.40
  4. Step 4: Simplify right side
    5,296.34x = 22,343,418.05
  5. Step 5: Solve for x
    x = 22,343,418.05/5,296.34
  6. Step 6: Final answer
    x = 4,218.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.