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Finding the Fourth Proportional to 5,153.72, 7,730.64 and 1,456.07

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Solution

The fourth proportional to 5,153.72, 7,730.64 and 1,456.07 is: 2,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.72 : 7,730.64 = 1,456.07 : x
  2. Step 2: Convert to fraction form
    5,153.72/7,730.64 = 1,456.07/x
  3. Step 3: Cross multiply
    5,153.72x = 7,730.64 × 1,456.07
  4. Step 4: Simplify right side
    5,153.72x = 11,256,314.33
  5. Step 5: Solve for x
    x = 11,256,314.33/5,153.72
  6. Step 6: Final answer
    x = 2,184.12

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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.