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Finding the Fourth Proportional to 4,895.52, 7,338.48 and 1,972

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Solution

The fourth proportional to 4,895.52, 7,338.48 and 1,972 is: 2,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.52 : 7,338.48 = 1,972 : x
  2. Step 2: Convert to fraction form
    4,895.52/7,338.48 = 1,972/x
  3. Step 3: Cross multiply
    4,895.52x = 7,338.48 × 1,972
  4. Step 4: Simplify right side
    4,895.52x = 14,471,482.56
  5. Step 5: Solve for x
    x = 14,471,482.56/4,895.52
  6. Step 6: Final answer
    x = 2,956.07

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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.