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Finding the Fourth Proportional to 5,901.61, 8,141.16 and 4,783.81

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Solution

The fourth proportional to 5,901.61, 8,141.16 and 4,783.81 is: 6,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.61 : 8,141.16 = 4,783.81 : x
  2. Step 2: Convert to fraction form
    5,901.61/8,141.16 = 4,783.81/x
  3. Step 3: Cross multiply
    5,901.61x = 8,141.16 × 4,783.81
  4. Step 4: Simplify right side
    5,901.61x = 38,945,762.62
  5. Step 5: Solve for x
    x = 38,945,762.62/5,901.61
  6. Step 6: Final answer
    x = 6,599.18

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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.