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Finding the Fourth Proportional to 5,074.70, 7,612.38 and 1,564.49

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Solution

The fourth proportional to 5,074.70, 7,612.38 and 1,564.49 is: 2,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.70 : 7,612.38 = 1,564.49 : x
  2. Step 2: Convert to fraction form
    5,074.70/7,612.38 = 1,564.49/x
  3. Step 3: Cross multiply
    5,074.70x = 7,612.38 × 1,564.49
  4. Step 4: Simplify right side
    5,074.70x = 11,909,492.39
  5. Step 5: Solve for x
    x = 11,909,492.39/5,074.70
  6. Step 6: Final answer
    x = 2,346.84

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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.