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Finding the Fourth Proportional to 5,612.34, 8,419.74 and 1,663.90

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Solution

The fourth proportional to 5,612.34, 8,419.74 and 1,663.90 is: 2,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.34 : 8,419.74 = 1,663.90 : x
  2. Step 2: Convert to fraction form
    5,612.34/8,419.74 = 1,663.90/x
  3. Step 3: Cross multiply
    5,612.34x = 8,419.74 × 1,663.90
  4. Step 4: Simplify right side
    5,612.34x = 14,009,625.46
  5. Step 5: Solve for x
    x = 14,009,625.46/5,612.34
  6. Step 6: Final answer
    x = 2,496.22

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