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Finding the Fourth Proportional to 4,362.90, 6,541.47 and 1,763.22

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Solution

The fourth proportional to 4,362.90, 6,541.47 and 1,763.22 is: 2,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.90 : 6,541.47 = 1,763.22 : x
  2. Step 2: Convert to fraction form
    4,362.90/6,541.47 = 1,763.22/x
  3. Step 3: Cross multiply
    4,362.90x = 6,541.47 × 1,763.22
  4. Step 4: Simplify right side
    4,362.90x = 11,534,050.73
  5. Step 5: Solve for x
    x = 11,534,050.73/4,362.90
  6. Step 6: Final answer
    x = 2,643.67

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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.