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Finding the Fourth Proportional to 4,681.56, 6,459.45 and 2,912.22

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Solution

The fourth proportional to 4,681.56, 6,459.45 and 2,912.22 is: 4,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.56 : 6,459.45 = 2,912.22 : x
  2. Step 2: Convert to fraction form
    4,681.56/6,459.45 = 2,912.22/x
  3. Step 3: Cross multiply
    4,681.56x = 6,459.45 × 2,912.22
  4. Step 4: Simplify right side
    4,681.56x = 18,811,328.56
  5. Step 5: Solve for x
    x = 18,811,328.56/4,681.56
  6. Step 6: Final answer
    x = 4,018.17

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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.