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Finding the Fourth Proportional to 5,160.21, 7,700.74 and 4,606.61

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Solution

The fourth proportional to 5,160.21, 7,700.74 and 4,606.61 is: 6,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.21 : 7,700.74 = 4,606.61 : x
  2. Step 2: Convert to fraction form
    5,160.21/7,700.74 = 4,606.61/x
  3. Step 3: Cross multiply
    5,160.21x = 7,700.74 × 4,606.61
  4. Step 4: Simplify right side
    5,160.21x = 35,474,255.87
  5. Step 5: Solve for x
    x = 35,474,255.87/5,160.21
  6. Step 6: Final answer
    x = 6,874.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.