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Finding the Fourth Proportional to 3,527.36, 5,289.80 and 1,061.54

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Solution

The fourth proportional to 3,527.36, 5,289.80 and 1,061.54 is: 1,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.36 : 5,289.80 = 1,061.54 : x
  2. Step 2: Convert to fraction form
    3,527.36/5,289.80 = 1,061.54/x
  3. Step 3: Cross multiply
    3,527.36x = 5,289.80 × 1,061.54
  4. Step 4: Simplify right side
    3,527.36x = 5,615,302.54
  5. Step 5: Solve for x
    x = 5,615,302.54/3,527.36
  6. Step 6: Final answer
    x = 1,591.93

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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.