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Finding the Fourth Proportional to 4,329.02, 6,494.34 and 1,408.16

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Solution

The fourth proportional to 4,329.02, 6,494.34 and 1,408.16 is: 2,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.02 : 6,494.34 = 1,408.16 : x
  2. Step 2: Convert to fraction form
    4,329.02/6,494.34 = 1,408.16/x
  3. Step 3: Cross multiply
    4,329.02x = 6,494.34 × 1,408.16
  4. Step 4: Simplify right side
    4,329.02x = 9,145,069.81
  5. Step 5: Solve for x
    x = 9,145,069.81/4,329.02
  6. Step 6: Final answer
    x = 2,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.