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Finding the Fourth Proportional to 4,605.81, 6,356.02 and 2,509.94

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Solution

The fourth proportional to 4,605.81, 6,356.02 and 2,509.94 is: 3,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.81 : 6,356.02 = 2,509.94 : x
  2. Step 2: Convert to fraction form
    4,605.81/6,356.02 = 2,509.94/x
  3. Step 3: Cross multiply
    4,605.81x = 6,356.02 × 2,509.94
  4. Step 4: Simplify right side
    4,605.81x = 15,953,228.84
  5. Step 5: Solve for x
    x = 15,953,228.84/4,605.81
  6. Step 6: Final answer
    x = 3,463.72

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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.