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Finding the Fourth Proportional to 4,664.74, 7,022.65 and 4,256.50

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Solution

The fourth proportional to 4,664.74, 7,022.65 and 4,256.50 is: 6,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.74 : 7,022.65 = 4,256.50 : x
  2. Step 2: Convert to fraction form
    4,664.74/7,022.65 = 4,256.50/x
  3. Step 3: Cross multiply
    4,664.74x = 7,022.65 × 4,256.50
  4. Step 4: Simplify right side
    4,664.74x = 29,891,909.73
  5. Step 5: Solve for x
    x = 29,891,909.73/4,664.74
  6. Step 6: Final answer
    x = 6,408.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.