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Finding the Fourth Proportional to 4,547.82, 6,822.36 and 1,914.90

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Solution

The fourth proportional to 4,547.82, 6,822.36 and 1,914.90 is: 2,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.82 : 6,822.36 = 1,914.90 : x
  2. Step 2: Convert to fraction form
    4,547.82/6,822.36 = 1,914.90/x
  3. Step 3: Cross multiply
    4,547.82x = 6,822.36 × 1,914.90
  4. Step 4: Simplify right side
    4,547.82x = 13,064,137.16
  5. Step 5: Solve for x
    x = 13,064,137.16/4,547.82
  6. Step 6: Final answer
    x = 2,872.62

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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.