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Finding the Fourth Proportional to 4,005.80, 6,008.70 and 1,408.40

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Solution

The fourth proportional to 4,005.80, 6,008.70 and 1,408.40 is: 2,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.80 : 6,008.70 = 1,408.40 : x
  2. Step 2: Convert to fraction form
    4,005.80/6,008.70 = 1,408.40/x
  3. Step 3: Cross multiply
    4,005.80x = 6,008.70 × 1,408.40
  4. Step 4: Simplify right side
    4,005.80x = 8,462,653.08
  5. Step 5: Solve for x
    x = 8,462,653.08/4,005.80
  6. Step 6: Final answer
    x = 2,112.60

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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.