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Finding the Fourth Proportional to 4,716.84, 7,039.94 and 4,638.98

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Solution

The fourth proportional to 4,716.84, 7,039.94 and 4,638.98 is: 6,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.84 : 7,039.94 = 4,638.98 : x
  2. Step 2: Convert to fraction form
    4,716.84/7,039.94 = 4,638.98/x
  3. Step 3: Cross multiply
    4,716.84x = 7,039.94 × 4,638.98
  4. Step 4: Simplify right side
    4,716.84x = 32,658,158.21
  5. Step 5: Solve for x
    x = 32,658,158.21/4,716.84
  6. Step 6: Final answer
    x = 6,923.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.