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Finding the Fourth Proportional to 5,383.76, 7,430.80 and 3,289.08

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Solution

The fourth proportional to 5,383.76, 7,430.80 and 3,289.08 is: 4,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.76 : 7,430.80 = 3,289.08 : x
  2. Step 2: Convert to fraction form
    5,383.76/7,430.80 = 3,289.08/x
  3. Step 3: Cross multiply
    5,383.76x = 7,430.80 × 3,289.08
  4. Step 4: Simplify right side
    5,383.76x = 24,440,495.66
  5. Step 5: Solve for x
    x = 24,440,495.66/5,383.76
  6. Step 6: Final answer
    x = 4,539.67

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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.