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Finding the Fourth Proportional to 2,986.40, 4,446.08 and 2,972

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Solution

The fourth proportional to 2,986.40, 4,446.08 and 2,972 is: 4,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.40 : 4,446.08 = 2,972 : x
  2. Step 2: Convert to fraction form
    2,986.40/4,446.08 = 2,972/x
  3. Step 3: Cross multiply
    2,986.40x = 4,446.08 × 2,972
  4. Step 4: Simplify right side
    2,986.40x = 13,213,749.76
  5. Step 5: Solve for x
    x = 13,213,749.76/2,986.40
  6. Step 6: Final answer
    x = 4,424.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.