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Finding the Fourth Proportional to 4,322.94, 6,485.35 and 1,401.54

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Solution

The fourth proportional to 4,322.94, 6,485.35 and 1,401.54 is: 2,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.94 : 6,485.35 = 1,401.54 : x
  2. Step 2: Convert to fraction form
    4,322.94/6,485.35 = 1,401.54/x
  3. Step 3: Cross multiply
    4,322.94x = 6,485.35 × 1,401.54
  4. Step 4: Simplify right side
    4,322.94x = 9,089,445.01
  5. Step 5: Solve for x
    x = 9,089,445.01/4,322.94
  6. Step 6: Final answer
    x = 2,102.61

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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.