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Finding the Fourth Proportional to 4,671.60, 6,442.20 and 3,623.28

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Solution

The fourth proportional to 4,671.60, 6,442.20 and 3,623.28 is: 4,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.60 : 6,442.20 = 3,623.28 : x
  2. Step 2: Convert to fraction form
    4,671.60/6,442.20 = 3,623.28/x
  3. Step 3: Cross multiply
    4,671.60x = 6,442.20 × 3,623.28
  4. Step 4: Simplify right side
    4,671.60x = 23,341,894.42
  5. Step 5: Solve for x
    x = 23,341,894.42/4,671.60
  6. Step 6: Final answer
    x = 4,996.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.