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Finding the Fourth Proportional to 4,683.84, 6,463.80 and 3,114.78

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Solution

The fourth proportional to 4,683.84, 6,463.80 and 3,114.78 is: 4,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.84 : 6,463.80 = 3,114.78 : x
  2. Step 2: Convert to fraction form
    4,683.84/6,463.80 = 3,114.78/x
  3. Step 3: Cross multiply
    4,683.84x = 6,463.80 × 3,114.78
  4. Step 4: Simplify right side
    4,683.84x = 20,133,314.96
  5. Step 5: Solve for x
    x = 20,133,314.96/4,683.84
  6. Step 6: Final answer
    x = 4,298.46

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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.