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Finding the Fourth Proportional to 4,320, 6,484.32 and 3,153.60

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Solution

The fourth proportional to 4,320, 6,484.32 and 3,153.60 is: 4,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320 : 6,484.32 = 3,153.60 : x
  2. Step 2: Convert to fraction form
    4,320/6,484.32 = 3,153.60/x
  3. Step 3: Cross multiply
    4,320x = 6,484.32 × 3,153.60
  4. Step 4: Simplify right side
    4,320x = 20,448,951.55
  5. Step 5: Solve for x
    x = 20,448,951.55/4,320
  6. Step 6: Final answer
    x = 4,733.55

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