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Finding the Fourth Proportional to 4,430.64, 6,114.52 and 2,441.44

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Solution

The fourth proportional to 4,430.64, 6,114.52 and 2,441.44 is: 3,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.64 : 6,114.52 = 2,441.44 : x
  2. Step 2: Convert to fraction form
    4,430.64/6,114.52 = 2,441.44/x
  3. Step 3: Cross multiply
    4,430.64x = 6,114.52 × 2,441.44
  4. Step 4: Simplify right side
    4,430.64x = 14,928,233.71
  5. Step 5: Solve for x
    x = 14,928,233.71/4,430.64
  6. Step 6: Final answer
    x = 3,369.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.