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Finding the Fourth Proportional to 5,125.86, 7,649.58 and 4,572.22

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Solution

The fourth proportional to 5,125.86, 7,649.58 and 4,572.22 is: 6,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.86 : 7,649.58 = 4,572.22 : x
  2. Step 2: Convert to fraction form
    5,125.86/7,649.58 = 4,572.22/x
  3. Step 3: Cross multiply
    5,125.86x = 7,649.58 × 4,572.22
  4. Step 4: Simplify right side
    5,125.86x = 34,975,562.67
  5. Step 5: Solve for x
    x = 34,975,562.67/5,125.86
  6. Step 6: Final answer
    x = 6,823.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.