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Finding the Fourth Proportional to 4,473.88, 6,701.84 and 2,136.14

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Solution

The fourth proportional to 4,473.88, 6,701.84 and 2,136.14 is: 3,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.88 : 6,701.84 = 2,136.14 : x
  2. Step 2: Convert to fraction form
    4,473.88/6,701.84 = 2,136.14/x
  3. Step 3: Cross multiply
    4,473.88x = 6,701.84 × 2,136.14
  4. Step 4: Simplify right side
    4,473.88x = 14,316,068.50
  5. Step 5: Solve for x
    x = 14,316,068.50/4,473.88
  6. Step 6: Final answer
    x = 3,199.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.