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Finding the Fourth Proportional to 4,929.65, 7,395 and 1,643.07

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Solution

The fourth proportional to 4,929.65, 7,395 and 1,643.07 is: 2,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.65 : 7,395 = 1,643.07 : x
  2. Step 2: Convert to fraction form
    4,929.65/7,395 = 1,643.07/x
  3. Step 3: Cross multiply
    4,929.65x = 7,395 × 1,643.07
  4. Step 4: Simplify right side
    4,929.65x = 12,150,502.65
  5. Step 5: Solve for x
    x = 12,150,502.65/4,929.65
  6. Step 6: Final answer
    x = 2,464.78

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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.