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Finding the Fourth Proportional to 5,101.51, 7,658.75 and 4,336.87

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Solution

The fourth proportional to 5,101.51, 7,658.75 and 4,336.87 is: 6,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.51 : 7,658.75 = 4,336.87 : x
  2. Step 2: Convert to fraction form
    5,101.51/7,658.75 = 4,336.87/x
  3. Step 3: Cross multiply
    5,101.51x = 7,658.75 × 4,336.87
  4. Step 4: Simplify right side
    5,101.51x = 33,215,003.11
  5. Step 5: Solve for x
    x = 33,215,003.11/5,101.51
  6. Step 6: Final answer
    x = 6,510.82

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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.