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Finding the Fourth Proportional to 4,605.84, 6,356.09 and 2,509.97

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Solution

The fourth proportional to 4,605.84, 6,356.09 and 2,509.97 is: 3,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.84 : 6,356.09 = 2,509.97 : x
  2. Step 2: Convert to fraction form
    4,605.84/6,356.09 = 2,509.97/x
  3. Step 3: Cross multiply
    4,605.84x = 6,356.09 × 2,509.97
  4. Step 4: Simplify right side
    4,605.84x = 15,953,550.89
  5. Step 5: Solve for x
    x = 15,953,550.89/4,605.84
  6. Step 6: Final answer
    x = 3,463.77

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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.