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Finding the Fourth Proportional to 4,602.83, 6,355.65 and 3,752.22

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Solution

The fourth proportional to 4,602.83, 6,355.65 and 3,752.22 is: 5,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.83 : 6,355.65 = 3,752.22 : x
  2. Step 2: Convert to fraction form
    4,602.83/6,355.65 = 3,752.22/x
  3. Step 3: Cross multiply
    4,602.83x = 6,355.65 × 3,752.22
  4. Step 4: Simplify right side
    4,602.83x = 23,847,765.26
  5. Step 5: Solve for x
    x = 23,847,765.26/4,602.83
  6. Step 6: Final answer
    x = 5,181.11

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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.