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Finding the Fourth Proportional to 3,497.63, 5,246.46 and 1,307.39

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Solution

The fourth proportional to 3,497.63, 5,246.46 and 1,307.39 is: 1,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.63 : 5,246.46 = 1,307.39 : x
  2. Step 2: Convert to fraction form
    3,497.63/5,246.46 = 1,307.39/x
  3. Step 3: Cross multiply
    3,497.63x = 5,246.46 × 1,307.39
  4. Step 4: Simplify right side
    3,497.63x = 6,859,143.11
  5. Step 5: Solve for x
    x = 6,859,143.11/3,497.63
  6. Step 6: Final answer
    x = 1,961.09

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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.