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Finding the Fourth Proportional to 3,645.48, 5,467.93 and 976.86

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Solution

The fourth proportional to 3,645.48, 5,467.93 and 976.86 is: 1,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.48 : 5,467.93 = 976.86 : x
  2. Step 2: Convert to fraction form
    3,645.48/5,467.93 = 976.86/x
  3. Step 3: Cross multiply
    3,645.48x = 5,467.93 × 976.86
  4. Step 4: Simplify right side
    3,645.48x = 5,341,402.41
  5. Step 5: Solve for x
    x = 5,341,402.41/3,645.48
  6. Step 6: Final answer
    x = 1,465.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.