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Finding the Fourth Proportional to 4,616.79, 6,931.34 and 3,927.89

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Solution

The fourth proportional to 4,616.79, 6,931.34 and 3,927.89 is: 5,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.79 : 6,931.34 = 3,927.89 : x
  2. Step 2: Convert to fraction form
    4,616.79/6,931.34 = 3,927.89/x
  3. Step 3: Cross multiply
    4,616.79x = 6,931.34 × 3,927.89
  4. Step 4: Simplify right side
    4,616.79x = 27,225,486.78
  5. Step 5: Solve for x
    x = 27,225,486.78/4,616.79
  6. Step 6: Final answer
    x = 5,897.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.