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Finding the Fourth Proportional to 5,154.75, 7,725.74 and 1,864.22

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Solution

The fourth proportional to 5,154.75, 7,725.74 and 1,864.22 is: 2,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.75 : 7,725.74 = 1,864.22 : x
  2. Step 2: Convert to fraction form
    5,154.75/7,725.74 = 1,864.22/x
  3. Step 3: Cross multiply
    5,154.75x = 7,725.74 × 1,864.22
  4. Step 4: Simplify right side
    5,154.75x = 14,402,431.07
  5. Step 5: Solve for x
    x = 14,402,431.07/5,154.75
  6. Step 6: Final answer
    x = 2,794.01

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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.