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Finding the Fourth Proportional to 4,427.79, 6,642.71 and 1,506.09

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Solution

The fourth proportional to 4,427.79, 6,642.71 and 1,506.09 is: 2,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.79 : 6,642.71 = 1,506.09 : x
  2. Step 2: Convert to fraction form
    4,427.79/6,642.71 = 1,506.09/x
  3. Step 3: Cross multiply
    4,427.79x = 6,642.71 × 1,506.09
  4. Step 4: Simplify right side
    4,427.79x = 10,004,542.13
  5. Step 5: Solve for x
    x = 10,004,542.13/4,427.79
  6. Step 6: Final answer
    x = 2,259.49

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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.