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Finding the Fourth Proportional to 5,046.66, 7,570.71 and 1,349.01

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Solution

The fourth proportional to 5,046.66, 7,570.71 and 1,349.01 is: 2,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.66 : 7,570.71 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    5,046.66/7,570.71 = 1,349.01/x
  3. Step 3: Cross multiply
    5,046.66x = 7,570.71 × 1,349.01
  4. Step 4: Simplify right side
    5,046.66x = 10,212,963.50
  5. Step 5: Solve for x
    x = 10,212,963.50/5,046.66
  6. Step 6: Final answer
    x = 2,023.71

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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.