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Finding the Fourth Proportional to 5,610, 8,414.96 and 1,714.36

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Solution

The fourth proportional to 5,610, 8,414.96 and 1,714.36 is: 2,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610 : 8,414.96 = 1,714.36 : x
  2. Step 2: Convert to fraction form
    5,610/8,414.96 = 1,714.36/x
  3. Step 3: Cross multiply
    5,610x = 8,414.96 × 1,714.36
  4. Step 4: Simplify right side
    5,610x = 14,426,270.83
  5. Step 5: Solve for x
    x = 14,426,270.83/5,610
  6. Step 6: Final answer
    x = 2,571.53

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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.