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Finding the Fourth Proportional to 4,634.34, 6,395.34 and 2,509.84

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Solution

The fourth proportional to 4,634.34, 6,395.34 and 2,509.84 is: 3,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.34 : 6,395.34 = 2,509.84 : x
  2. Step 2: Convert to fraction form
    4,634.34/6,395.34 = 2,509.84/x
  3. Step 3: Cross multiply
    4,634.34x = 6,395.34 × 2,509.84
  4. Step 4: Simplify right side
    4,634.34x = 16,051,248.17
  5. Step 5: Solve for x
    x = 16,051,248.17/4,634.34
  6. Step 6: Final answer
    x = 3,463.55

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