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Finding the Fourth Proportional to 5,052.42, 6,972.03 and 2,814.18

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Solution

The fourth proportional to 5,052.42, 6,972.03 and 2,814.18 is: 3,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.42 : 6,972.03 = 2,814.18 : x
  2. Step 2: Convert to fraction form
    5,052.42/6,972.03 = 2,814.18/x
  3. Step 3: Cross multiply
    5,052.42x = 6,972.03 × 2,814.18
  4. Step 4: Simplify right side
    5,052.42x = 19,620,547.39
  5. Step 5: Solve for x
    x = 19,620,547.39/5,052.42
  6. Step 6: Final answer
    x = 3,883.40

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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.