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Finding the Fourth Proportional to 4,605.34, 6,355.38 and 2,509.42

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Solution

The fourth proportional to 4,605.34, 6,355.38 and 2,509.42 is: 3,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.34 : 6,355.38 = 2,509.42 : x
  2. Step 2: Convert to fraction form
    4,605.34/6,355.38 = 2,509.42/x
  3. Step 3: Cross multiply
    4,605.34x = 6,355.38 × 2,509.42
  4. Step 4: Simplify right side
    4,605.34x = 15,948,317.68
  5. Step 5: Solve for x
    x = 15,948,317.68/4,605.34
  6. Step 6: Final answer
    x = 3,463.01

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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.