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Finding the Fourth Proportional to 3,534.96, 5,295.98 and 1,657.40

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Solution

The fourth proportional to 3,534.96, 5,295.98 and 1,657.40 is: 2,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.96 : 5,295.98 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    3,534.96/5,295.98 = 1,657.40/x
  3. Step 3: Cross multiply
    3,534.96x = 5,295.98 × 1,657.40
  4. Step 4: Simplify right side
    3,534.96x = 8,777,522.49
  5. Step 5: Solve for x
    x = 8,777,522.49/3,534.96
  6. Step 6: Final answer
    x = 2,483.06

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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.