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Finding the Fourth Proportional to 5,748, 8,622.48 and 1,644

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Solution

The fourth proportional to 5,748, 8,622.48 and 1,644 is: 2,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 8,622.48 = 1,644 : x
  2. Step 2: Convert to fraction form
    5,748/8,622.48 = 1,644/x
  3. Step 3: Cross multiply
    5,748x = 8,622.48 × 1,644
  4. Step 4: Simplify right side
    5,748x = 14,175,357.12
  5. Step 5: Solve for x
    x = 14,175,357.12/5,748
  6. Step 6: Final answer
    x = 2,466.14

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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.