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Finding the Fourth Proportional to 5,263.60, 7,263.76 and 2,906.16

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Solution

The fourth proportional to 5,263.60, 7,263.76 and 2,906.16 is: 4,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.60 : 7,263.76 = 2,906.16 : x
  2. Step 2: Convert to fraction form
    5,263.60/7,263.76 = 2,906.16/x
  3. Step 3: Cross multiply
    5,263.60x = 7,263.76 × 2,906.16
  4. Step 4: Simplify right side
    5,263.60x = 21,109,648.76
  5. Step 5: Solve for x
    x = 21,109,648.76/5,263.60
  6. Step 6: Final answer
    x = 4,010.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.