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Finding the Fourth Proportional to 4,646.33, 6,970.52 and 2,181.18

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Solution

The fourth proportional to 4,646.33, 6,970.52 and 2,181.18 is: 3,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.33 : 6,970.52 = 2,181.18 : x
  2. Step 2: Convert to fraction form
    4,646.33/6,970.52 = 2,181.18/x
  3. Step 3: Cross multiply
    4,646.33x = 6,970.52 × 2,181.18
  4. Step 4: Simplify right side
    4,646.33x = 15,203,951.20
  5. Step 5: Solve for x
    x = 15,203,951.20/4,646.33
  6. Step 6: Final answer
    x = 3,272.25

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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.