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Finding the Fourth Proportional to 5,154.84, 7,730.51 and 1,867.19

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Solution

The fourth proportional to 5,154.84, 7,730.51 and 1,867.19 is: 2,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.84 : 7,730.51 = 1,867.19 : x
  2. Step 2: Convert to fraction form
    5,154.84/7,730.51 = 1,867.19/x
  3. Step 3: Cross multiply
    5,154.84x = 7,730.51 × 1,867.19
  4. Step 4: Simplify right side
    5,154.84x = 14,434,282.98
  5. Step 5: Solve for x
    x = 14,434,282.98/5,154.84
  6. Step 6: Final answer
    x = 2,800.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.