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Finding the Fourth Proportional to 4,787.74, 7,173.84 and 4,607.92

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Solution

The fourth proportional to 4,787.74, 7,173.84 and 4,607.92 is: 6,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.74 : 7,173.84 = 4,607.92 : x
  2. Step 2: Convert to fraction form
    4,787.74/7,173.84 = 4,607.92/x
  3. Step 3: Cross multiply
    4,787.74x = 7,173.84 × 4,607.92
  4. Step 4: Simplify right side
    4,787.74x = 33,056,480.81
  5. Step 5: Solve for x
    x = 33,056,480.81/4,787.74
  6. Step 6: Final answer
    x = 6,904.40

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