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Finding the Fourth Proportional to 3,122.34, 4,652.66 and 3,023.25

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Solution

The fourth proportional to 3,122.34, 4,652.66 and 3,023.25 is: 4,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.34 : 4,652.66 = 3,023.25 : x
  2. Step 2: Convert to fraction form
    3,122.34/4,652.66 = 3,023.25/x
  3. Step 3: Cross multiply
    3,122.34x = 4,652.66 × 3,023.25
  4. Step 4: Simplify right side
    3,122.34x = 14,066,154.35
  5. Step 5: Solve for x
    x = 14,066,154.35/3,122.34
  6. Step 6: Final answer
    x = 4,505.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.