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Finding the Fourth Proportional to 5,045.14, 6,962.31 and 2,807.14

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Solution

The fourth proportional to 5,045.14, 6,962.31 and 2,807.14 is: 3,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.14 : 6,962.31 = 2,807.14 : x
  2. Step 2: Convert to fraction form
    5,045.14/6,962.31 = 2,807.14/x
  3. Step 3: Cross multiply
    5,045.14x = 6,962.31 × 2,807.14
  4. Step 4: Simplify right side
    5,045.14x = 19,544,178.89
  5. Step 5: Solve for x
    x = 19,544,178.89/5,045.14
  6. Step 6: Final answer
    x = 3,873.86

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1.5x scale

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.