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Finding the Fourth Proportional to 5,479.84, 7,564.15 and 3,243.63

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Solution

The fourth proportional to 5,479.84, 7,564.15 and 3,243.63 is: 4,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,479.84 : 7,564.15 = 3,243.63 : x
  2. Step 2: Convert to fraction form
    5,479.84/7,564.15 = 3,243.63/x
  3. Step 3: Cross multiply
    5,479.84x = 7,564.15 × 3,243.63
  4. Step 4: Simplify right side
    5,479.84x = 24,535,303.86
  5. Step 5: Solve for x
    x = 24,535,303.86/5,479.84
  6. Step 6: Final answer
    x = 4,477.38

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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.