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Finding the Fourth Proportional to 4,706.32, 7,060.80 and 2,363.50

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Solution

The fourth proportional to 4,706.32, 7,060.80 and 2,363.50 is: 3,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.32 : 7,060.80 = 2,363.50 : x
  2. Step 2: Convert to fraction form
    4,706.32/7,060.80 = 2,363.50/x
  3. Step 3: Cross multiply
    4,706.32x = 7,060.80 × 2,363.50
  4. Step 4: Simplify right side
    4,706.32x = 16,688,200.80
  5. Step 5: Solve for x
    x = 16,688,200.80/4,706.32
  6. Step 6: Final answer
    x = 3,545.91

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Why These Related Problems?

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