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Finding the Fourth Proportional to 5,286.64, 7,937.52 and 4,703.44

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Solution

The fourth proportional to 5,286.64, 7,937.52 and 4,703.44 is: 7,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.64 : 7,937.52 = 4,703.44 : x
  2. Step 2: Convert to fraction form
    5,286.64/7,937.52 = 4,703.44/x
  3. Step 3: Cross multiply
    5,286.64x = 7,937.52 × 4,703.44
  4. Step 4: Simplify right side
    5,286.64x = 37,333,649.07
  5. Step 5: Solve for x
    x = 37,333,649.07/5,286.64
  6. Step 6: Final answer
    x = 7,061.89

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