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Finding the Fourth Proportional to 4,657.66, 6,419.34 and 4,114.56

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Solution

The fourth proportional to 4,657.66, 6,419.34 and 4,114.56 is: 5,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.66 : 6,419.34 = 4,114.56 : x
  2. Step 2: Convert to fraction form
    4,657.66/6,419.34 = 4,114.56/x
  3. Step 3: Cross multiply
    4,657.66x = 6,419.34 × 4,114.56
  4. Step 4: Simplify right side
    4,657.66x = 26,412,759.59
  5. Step 5: Solve for x
    x = 26,412,759.59/4,657.66
  6. Step 6: Final answer
    x = 5,670.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.