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Finding the Fourth Proportional to 4,328.48, 6,489.64 and 2,074.42

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Solution

The fourth proportional to 4,328.48, 6,489.64 and 2,074.42 is: 3,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.48 : 6,489.64 = 2,074.42 : x
  2. Step 2: Convert to fraction form
    4,328.48/6,489.64 = 2,074.42/x
  3. Step 3: Cross multiply
    4,328.48x = 6,489.64 × 2,074.42
  4. Step 4: Simplify right side
    4,328.48x = 13,462,239.01
  5. Step 5: Solve for x
    x = 13,462,239.01/4,328.48
  6. Step 6: Final answer
    x = 3,110.15

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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.