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Finding the Fourth Proportional to 4,420.68, 6,632.78 and 1,823.01

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Solution

The fourth proportional to 4,420.68, 6,632.78 and 1,823.01 is: 2,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420.68 : 6,632.78 = 1,823.01 : x
  2. Step 2: Convert to fraction form
    4,420.68/6,632.78 = 1,823.01/x
  3. Step 3: Cross multiply
    4,420.68x = 6,632.78 × 1,823.01
  4. Step 4: Simplify right side
    4,420.68x = 12,091,615.15
  5. Step 5: Solve for x
    x = 12,091,615.15/4,420.68
  6. Step 6: Final answer
    x = 2,735.24

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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.