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Finding the Fourth Proportional to 4,946.06, 6,817.02 and 4,312.64

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Solution

The fourth proportional to 4,946.06, 6,817.02 and 4,312.64 is: 5,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.06 : 6,817.02 = 4,312.64 : x
  2. Step 2: Convert to fraction form
    4,946.06/6,817.02 = 4,312.64/x
  3. Step 3: Cross multiply
    4,946.06x = 6,817.02 × 4,312.64
  4. Step 4: Simplify right side
    4,946.06x = 29,399,353.13
  5. Step 5: Solve for x
    x = 29,399,353.13/4,946.06
  6. Step 6: Final answer
    x = 5,943.99

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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.