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Finding the Fourth Proportional to 4,322.06, 6,484.37 and 1,400.30

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Solution

The fourth proportional to 4,322.06, 6,484.37 and 1,400.30 is: 2,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.06 : 6,484.37 = 1,400.30 : x
  2. Step 2: Convert to fraction form
    4,322.06/6,484.37 = 1,400.30/x
  3. Step 3: Cross multiply
    4,322.06x = 6,484.37 × 1,400.30
  4. Step 4: Simplify right side
    4,322.06x = 9,080,023.89
  5. Step 5: Solve for x
    x = 9,080,023.89/4,322.06
  6. Step 6: Final answer
    x = 2,100.86

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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.