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Finding the Fourth Proportional to 4,325.66, 6,489.40 and 1,406.01

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Solution

The fourth proportional to 4,325.66, 6,489.40 and 1,406.01 is: 2,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.66 : 6,489.40 = 1,406.01 : x
  2. Step 2: Convert to fraction form
    4,325.66/6,489.40 = 1,406.01/x
  3. Step 3: Cross multiply
    4,325.66x = 6,489.40 × 1,406.01
  4. Step 4: Simplify right side
    4,325.66x = 9,124,161.29
  5. Step 5: Solve for x
    x = 9,124,161.29/4,325.66
  6. Step 6: Final answer
    x = 2,109.31

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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.