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Finding the Fourth Proportional to 4,559.34, 6,291.99 and 2,569.80

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Solution

The fourth proportional to 4,559.34, 6,291.99 and 2,569.80 is: 3,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.34 : 6,291.99 = 2,569.80 : x
  2. Step 2: Convert to fraction form
    4,559.34/6,291.99 = 2,569.80/x
  3. Step 3: Cross multiply
    4,559.34x = 6,291.99 × 2,569.80
  4. Step 4: Simplify right side
    4,559.34x = 16,169,155.90
  5. Step 5: Solve for x
    x = 16,169,155.90/4,559.34
  6. Step 6: Final answer
    x = 3,546.38

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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.