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Finding the Fourth Proportional to 4,538.72, 6,806.64 and 1,460

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Solution

The fourth proportional to 4,538.72, 6,806.64 and 1,460 is: 2,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.72 : 6,806.64 = 1,460 : x
  2. Step 2: Convert to fraction form
    4,538.72/6,806.64 = 1,460/x
  3. Step 3: Cross multiply
    4,538.72x = 6,806.64 × 1,460
  4. Step 4: Simplify right side
    4,538.72x = 9,937,694.40
  5. Step 5: Solve for x
    x = 9,937,694.40/4,538.72
  6. Step 6: Final answer
    x = 2,189.54

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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.