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Finding the Fourth Proportional to 4,655.84, 6,983.81 and 1,368.99

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Solution

The fourth proportional to 4,655.84, 6,983.81 and 1,368.99 is: 2,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.84 : 6,983.81 = 1,368.99 : x
  2. Step 2: Convert to fraction form
    4,655.84/6,983.81 = 1,368.99/x
  3. Step 3: Cross multiply
    4,655.84x = 6,983.81 × 1,368.99
  4. Step 4: Simplify right side
    4,655.84x = 9,560,766.05
  5. Step 5: Solve for x
    x = 9,560,766.05/4,655.84
  6. Step 6: Final answer
    x = 2,053.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.