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Finding the Fourth Proportional to 5,289.60, 7,265.76 and 5,263.68

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Solution

The fourth proportional to 5,289.60, 7,265.76 and 5,263.68 is: 7,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.60 : 7,265.76 = 5,263.68 : x
  2. Step 2: Convert to fraction form
    5,289.60/7,265.76 = 5,263.68/x
  3. Step 3: Cross multiply
    5,289.60x = 7,265.76 × 5,263.68
  4. Step 4: Simplify right side
    5,289.60x = 38,244,635.60
  5. Step 5: Solve for x
    x = 38,244,635.60/5,289.60
  6. Step 6: Final answer
    x = 7,230.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.