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Finding the Fourth Proportional to 3,505.95, 5,261.53 and 1,657.63

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Solution

The fourth proportional to 3,505.95, 5,261.53 and 1,657.63 is: 2,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.95 : 5,261.53 = 1,657.63 : x
  2. Step 2: Convert to fraction form
    3,505.95/5,261.53 = 1,657.63/x
  3. Step 3: Cross multiply
    3,505.95x = 5,261.53 × 1,657.63
  4. Step 4: Simplify right side
    3,505.95x = 8,721,678.62
  5. Step 5: Solve for x
    x = 8,721,678.62/3,505.95
  6. Step 6: Final answer
    x = 2,487.68

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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.