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Finding the Fourth Proportional to 6,571.13, 9,057.35 and 4,657.59

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Solution

The fourth proportional to 6,571.13, 9,057.35 and 4,657.59 is: 6,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.13 : 9,057.35 = 4,657.59 : x
  2. Step 2: Convert to fraction form
    6,571.13/9,057.35 = 4,657.59/x
  3. Step 3: Cross multiply
    6,571.13x = 9,057.35 × 4,657.59
  4. Step 4: Simplify right side
    6,571.13x = 42,185,399.50
  5. Step 5: Solve for x
    x = 42,185,399.50/6,571.13
  6. Step 6: Final answer
    x = 6,419.81

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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.