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Finding the Fourth Proportional to 4,706.18, 7,056.57 and 1,782.62

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Solution

The fourth proportional to 4,706.18, 7,056.57 and 1,782.62 is: 2,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.18 : 7,056.57 = 1,782.62 : x
  2. Step 2: Convert to fraction form
    4,706.18/7,056.57 = 1,782.62/x
  3. Step 3: Cross multiply
    4,706.18x = 7,056.57 × 1,782.62
  4. Step 4: Simplify right side
    4,706.18x = 12,579,182.81
  5. Step 5: Solve for x
    x = 12,579,182.81/4,706.18
  6. Step 6: Final answer
    x = 2,672.91

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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.