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Finding the Fourth Proportional to 5,296.74, 7,307.38 and 3,408

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Solution

The fourth proportional to 5,296.74, 7,307.38 and 3,408 is: 4,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.74 : 7,307.38 = 3,408 : x
  2. Step 2: Convert to fraction form
    5,296.74/7,307.38 = 3,408/x
  3. Step 3: Cross multiply
    5,296.74x = 7,307.38 × 3,408
  4. Step 4: Simplify right side
    5,296.74x = 24,903,551.04
  5. Step 5: Solve for x
    x = 24,903,551.04/5,296.74
  6. Step 6: Final answer
    x = 4,701.68

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Why These Related Problems?

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