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Finding the Fourth Proportional to 4,509.63, 6,764.56 and 1,389.67

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Solution

The fourth proportional to 4,509.63, 6,764.56 and 1,389.67 is: 2,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.63 : 6,764.56 = 1,389.67 : x
  2. Step 2: Convert to fraction form
    4,509.63/6,764.56 = 1,389.67/x
  3. Step 3: Cross multiply
    4,509.63x = 6,764.56 × 1,389.67
  4. Step 4: Simplify right side
    4,509.63x = 9,400,485.71
  5. Step 5: Solve for x
    x = 9,400,485.71/4,509.63
  6. Step 6: Final answer
    x = 2,084.54

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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.