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Finding the Fourth Proportional to 4,564.81, 6,293.86 and 4,010.77

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Solution

The fourth proportional to 4,564.81, 6,293.86 and 4,010.77 is: 5,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.81 : 6,293.86 = 4,010.77 : x
  2. Step 2: Convert to fraction form
    4,564.81/6,293.86 = 4,010.77/x
  3. Step 3: Cross multiply
    4,564.81x = 6,293.86 × 4,010.77
  4. Step 4: Simplify right side
    4,564.81x = 25,243,224.87
  5. Step 5: Solve for x
    x = 25,243,224.87/4,564.81
  6. Step 6: Final answer
    x = 5,529.96

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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.