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Finding the Fourth Proportional to 5,102.84, 7,657.35 and 1,815.69

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Solution

The fourth proportional to 5,102.84, 7,657.35 and 1,815.69 is: 2,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.84 : 7,657.35 = 1,815.69 : x
  2. Step 2: Convert to fraction form
    5,102.84/7,657.35 = 1,815.69/x
  3. Step 3: Cross multiply
    5,102.84x = 7,657.35 × 1,815.69
  4. Step 4: Simplify right side
    5,102.84x = 13,903,373.82
  5. Step 5: Solve for x
    x = 13,903,373.82/5,102.84
  6. Step 6: Final answer
    x = 2,724.63

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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.