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Finding the Fourth Proportional to 5,927.61, 8,177.04 and 4,809.81

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Solution

The fourth proportional to 5,927.61, 8,177.04 and 4,809.81 is: 6,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.61 : 8,177.04 = 4,809.81 : x
  2. Step 2: Convert to fraction form
    5,927.61/8,177.04 = 4,809.81/x
  3. Step 3: Cross multiply
    5,927.61x = 8,177.04 × 4,809.81
  4. Step 4: Simplify right side
    5,927.61x = 39,330,008.76
  5. Step 5: Solve for x
    x = 39,330,008.76/5,927.61
  6. Step 6: Final answer
    x = 6,635.05

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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.