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Finding the Fourth Proportional to 4,568, 6,303.84 and 2,472.14

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Solution

The fourth proportional to 4,568, 6,303.84 and 2,472.14 is: 3,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568 : 6,303.84 = 2,472.14 : x
  2. Step 2: Convert to fraction form
    4,568/6,303.84 = 2,472.14/x
  3. Step 3: Cross multiply
    4,568x = 6,303.84 × 2,472.14
  4. Step 4: Simplify right side
    4,568x = 15,583,975.02
  5. Step 5: Solve for x
    x = 15,583,975.02/4,568
  6. Step 6: Final answer
    x = 3,411.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.