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Finding the Fourth Proportional to 5,931.84, 8,191.20 and 3,840.96

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Solution

The fourth proportional to 5,931.84, 8,191.20 and 3,840.96 is: 5,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.84 : 8,191.20 = 3,840.96 : x
  2. Step 2: Convert to fraction form
    5,931.84/8,191.20 = 3,840.96/x
  3. Step 3: Cross multiply
    5,931.84x = 8,191.20 × 3,840.96
  4. Step 4: Simplify right side
    5,931.84x = 31,462,071.55
  5. Step 5: Solve for x
    x = 31,462,071.55/5,931.84
  6. Step 6: Final answer
    x = 5,303.93

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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.