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Finding the Fourth Proportional to 4,334.84, 6,507.84 and 2,256.27

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Solution

The fourth proportional to 4,334.84, 6,507.84 and 2,256.27 is: 3,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.84 : 6,507.84 = 2,256.27 : x
  2. Step 2: Convert to fraction form
    4,334.84/6,507.84 = 2,256.27/x
  3. Step 3: Cross multiply
    4,334.84x = 6,507.84 × 2,256.27
  4. Step 4: Simplify right side
    4,334.84x = 14,683,444.16
  5. Step 5: Solve for x
    x = 14,683,444.16/4,334.84
  6. Step 6: Final answer
    x = 3,387.31

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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.