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Finding the Fourth Proportional to 4,784.72, 7,205.20 and 4,175.72

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Solution

The fourth proportional to 4,784.72, 7,205.20 and 4,175.72 is: 6,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.72 : 7,205.20 = 4,175.72 : x
  2. Step 2: Convert to fraction form
    4,784.72/7,205.20 = 4,175.72/x
  3. Step 3: Cross multiply
    4,784.72x = 7,205.20 × 4,175.72
  4. Step 4: Simplify right side
    4,784.72x = 30,086,897.74
  5. Step 5: Solve for x
    x = 30,086,897.74/4,784.72
  6. Step 6: Final answer
    x = 6,288.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.