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Finding the Fourth Proportional to 4,652.32, 6,965.28 and 4,214.36

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Solution

The fourth proportional to 4,652.32, 6,965.28 and 4,214.36 is: 6,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.32 : 6,965.28 = 4,214.36 : x
  2. Step 2: Convert to fraction form
    4,652.32/6,965.28 = 4,214.36/x
  3. Step 3: Cross multiply
    4,652.32x = 6,965.28 × 4,214.36
  4. Step 4: Simplify right side
    4,652.32x = 29,354,197.42
  5. Step 5: Solve for x
    x = 29,354,197.42/4,652.32
  6. Step 6: Final answer
    x = 6,309.58

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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.