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Finding the Fourth Proportional to 4,039.86, 5,585.03 and 4,002.96

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Solution

The fourth proportional to 4,039.86, 5,585.03 and 4,002.96 is: 5,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.86 : 5,585.03 = 4,002.96 : x
  2. Step 2: Convert to fraction form
    4,039.86/5,585.03 = 4,002.96/x
  3. Step 3: Cross multiply
    4,039.86x = 5,585.03 × 4,002.96
  4. Step 4: Simplify right side
    4,039.86x = 22,356,631.67
  5. Step 5: Solve for x
    x = 22,356,631.67/4,039.86
  6. Step 6: Final answer
    x = 5,534.01

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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.