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Finding the Fourth Proportional to 5,541.96, 8,312.78 and 1,646.36

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Solution

The fourth proportional to 5,541.96, 8,312.78 and 1,646.36 is: 2,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.96 : 8,312.78 = 1,646.36 : x
  2. Step 2: Convert to fraction form
    5,541.96/8,312.78 = 1,646.36/x
  3. Step 3: Cross multiply
    5,541.96x = 8,312.78 × 1,646.36
  4. Step 4: Simplify right side
    5,541.96x = 13,685,828.48
  5. Step 5: Solve for x
    x = 13,685,828.48/5,541.96
  6. Step 6: Final answer
    x = 2,469.49

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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.