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Finding the Fourth Proportional to 24,320, 36,480 and 5,852

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Solution

The fourth proportional to 24,320, 36,480 and 5,852 is: 8,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320 : 36,480 = 5,852 : x
  2. Step 2: Convert to fraction form
    24,320/36,480 = 5,852/x
  3. Step 3: Cross multiply
    24,320x = 36,480 × 5,852
  4. Step 4: Simplify right side
    24,320x = 213,480,960
  5. Step 5: Solve for x
    x = 213,480,960/24,320
  6. Step 6: Final answer
    x = 8,778

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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.