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Finding the Fourth Proportional to 4,145.04, 6,214.32 and 1,952.64

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Solution

The fourth proportional to 4,145.04, 6,214.32 and 1,952.64 is: 2,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.04 : 6,214.32 = 1,952.64 : x
  2. Step 2: Convert to fraction form
    4,145.04/6,214.32 = 1,952.64/x
  3. Step 3: Cross multiply
    4,145.04x = 6,214.32 × 1,952.64
  4. Step 4: Simplify right side
    4,145.04x = 12,134,329.80
  5. Step 5: Solve for x
    x = 12,134,329.80/4,145.04
  6. Step 6: Final answer
    x = 2,927.43

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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.