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Finding the Fourth Proportional to 3,287.87, 4,928.61 and 1,312.93

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Solution

The fourth proportional to 3,287.87, 4,928.61 and 1,312.93 is: 1,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.87 : 4,928.61 = 1,312.93 : x
  2. Step 2: Convert to fraction form
    3,287.87/4,928.61 = 1,312.93/x
  3. Step 3: Cross multiply
    3,287.87x = 4,928.61 × 1,312.93
  4. Step 4: Simplify right side
    3,287.87x = 6,470,907.61
  5. Step 5: Solve for x
    x = 6,470,907.61/3,287.87
  6. Step 6: Final answer
    x = 1,968.11

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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.