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Finding the Fourth Proportional to 5,411.72, 7,467.54 and 3,053.63

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Solution

The fourth proportional to 5,411.72, 7,467.54 and 3,053.63 is: 4,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.72 : 7,467.54 = 3,053.63 : x
  2. Step 2: Convert to fraction form
    5,411.72/7,467.54 = 3,053.63/x
  3. Step 3: Cross multiply
    5,411.72x = 7,467.54 × 3,053.63
  4. Step 4: Simplify right side
    5,411.72x = 22,803,104.17
  5. Step 5: Solve for x
    x = 22,803,104.17/5,411.72
  6. Step 6: Final answer
    x = 4,213.65

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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.