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Finding the Fourth Proportional to 4,983.94, 6,828.03 and 4,797.10

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Solution

The fourth proportional to 4,983.94, 6,828.03 and 4,797.10 is: 6,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.94 : 6,828.03 = 4,797.10 : x
  2. Step 2: Convert to fraction form
    4,983.94/6,828.03 = 4,797.10/x
  3. Step 3: Cross multiply
    4,983.94x = 6,828.03 × 4,797.10
  4. Step 4: Simplify right side
    4,983.94x = 32,754,742.71
  5. Step 5: Solve for x
    x = 32,754,742.71/4,983.94
  6. Step 6: Final answer
    x = 6,572.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.