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Finding the Fourth Proportional to 4,365.22, 6,024.23 and 4,057.69

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Solution

The fourth proportional to 4,365.22, 6,024.23 and 4,057.69 is: 5,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.22 : 6,024.23 = 4,057.69 : x
  2. Step 2: Convert to fraction form
    4,365.22/6,024.23 = 4,057.69/x
  3. Step 3: Cross multiply
    4,365.22x = 6,024.23 × 4,057.69
  4. Step 4: Simplify right side
    4,365.22x = 24,444,457.83
  5. Step 5: Solve for x
    x = 24,444,457.83/4,365.22
  6. Step 6: Final answer
    x = 5,599.82

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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.