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Finding the Fourth Proportional to 4,275.63, 6,411.93 and 1,643.34

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Solution

The fourth proportional to 4,275.63, 6,411.93 and 1,643.34 is: 2,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.63 : 6,411.93 = 1,643.34 : x
  2. Step 2: Convert to fraction form
    4,275.63/6,411.93 = 1,643.34/x
  3. Step 3: Cross multiply
    4,275.63x = 6,411.93 × 1,643.34
  4. Step 4: Simplify right side
    4,275.63x = 10,536,981.05
  5. Step 5: Solve for x
    x = 10,536,981.05/4,275.63
  6. Step 6: Final answer
    x = 2,464.43

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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.