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Finding the Fourth Proportional to 3,288.21, 4,934.70 and 1,312.71

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Solution

The fourth proportional to 3,288.21, 4,934.70 and 1,312.71 is: 1,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.21 : 4,934.70 = 1,312.71 : x
  2. Step 2: Convert to fraction form
    3,288.21/4,934.70 = 1,312.71/x
  3. Step 3: Cross multiply
    3,288.21x = 4,934.70 × 1,312.71
  4. Step 4: Simplify right side
    3,288.21x = 6,477,830.04
  5. Step 5: Solve for x
    x = 6,477,830.04/3,288.21
  6. Step 6: Final answer
    x = 1,970.02

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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.