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Finding the Fourth Proportional to 5,156.11, 7,721.50 and 4,656.89

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Solution

The fourth proportional to 5,156.11, 7,721.50 and 4,656.89 is: 6,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.11 : 7,721.50 = 4,656.89 : x
  2. Step 2: Convert to fraction form
    5,156.11/7,721.50 = 4,656.89/x
  3. Step 3: Cross multiply
    5,156.11x = 7,721.50 × 4,656.89
  4. Step 4: Simplify right side
    5,156.11x = 35,958,205.63
  5. Step 5: Solve for x
    x = 35,958,205.63/5,156.11
  6. Step 6: Final answer
    x = 6,973.91

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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.