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Finding the Fourth Proportional to 4,613.84, 6,366.36 and 2,624

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Solution

The fourth proportional to 4,613.84, 6,366.36 and 2,624 is: 3,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.84 : 6,366.36 = 2,624 : x
  2. Step 2: Convert to fraction form
    4,613.84/6,366.36 = 2,624/x
  3. Step 3: Cross multiply
    4,613.84x = 6,366.36 × 2,624
  4. Step 4: Simplify right side
    4,613.84x = 16,705,328.64
  5. Step 5: Solve for x
    x = 16,705,328.64/4,613.84
  6. Step 6: Final answer
    x = 3,620.70

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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.