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Finding the Fourth Proportional to 6,571.48, 9,057.82 and 4,657.93

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Solution

The fourth proportional to 6,571.48, 9,057.82 and 4,657.93 is: 6,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.48 : 9,057.82 = 4,657.93 : x
  2. Step 2: Convert to fraction form
    6,571.48/9,057.82 = 4,657.93/x
  3. Step 3: Cross multiply
    6,571.48x = 9,057.82 × 4,657.93
  4. Step 4: Simplify right side
    6,571.48x = 42,190,691.51
  5. Step 5: Solve for x
    x = 42,190,691.51/6,571.48
  6. Step 6: Final answer
    x = 6,420.27

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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.