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Finding the Fourth Proportional to 5,084.01, 7,624.86 and 2,582.66

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Solution

The fourth proportional to 5,084.01, 7,624.86 and 2,582.66 is: 3,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.01 : 7,624.86 = 2,582.66 : x
  2. Step 2: Convert to fraction form
    5,084.01/7,624.86 = 2,582.66/x
  3. Step 3: Cross multiply
    5,084.01x = 7,624.86 × 2,582.66
  4. Step 4: Simplify right side
    5,084.01x = 19,692,420.93
  5. Step 5: Solve for x
    x = 19,692,420.93/5,084.01
  6. Step 6: Final answer
    x = 3,873.40

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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.