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Finding the Fourth Proportional to 5,264.58, 7,264.86 and 3,024.88

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Solution

The fourth proportional to 5,264.58, 7,264.86 and 3,024.88 is: 4,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.58 : 7,264.86 = 3,024.88 : x
  2. Step 2: Convert to fraction form
    5,264.58/7,264.86 = 3,024.88/x
  3. Step 3: Cross multiply
    5,264.58x = 7,264.86 × 3,024.88
  4. Step 4: Simplify right side
    5,264.58x = 21,975,329.72
  5. Step 5: Solve for x
    x = 21,975,329.72/5,264.58
  6. Step 6: Final answer
    x = 4,174.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.