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Finding the Fourth Proportional to 3,491.83, 5,237.75 and 1,297.95

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Solution

The fourth proportional to 3,491.83, 5,237.75 and 1,297.95 is: 1,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.83 : 5,237.75 = 1,297.95 : x
  2. Step 2: Convert to fraction form
    3,491.83/5,237.75 = 1,297.95/x
  3. Step 3: Cross multiply
    3,491.83x = 5,237.75 × 1,297.95
  4. Step 4: Simplify right side
    3,491.83x = 6,798,337.61
  5. Step 5: Solve for x
    x = 6,798,337.61/3,491.83
  6. Step 6: Final answer
    x = 1,946.93

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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.