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Finding the Fourth Proportional to 4,994.76, 7,490.32 and 1,706.98

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Solution

The fourth proportional to 4,994.76, 7,490.32 and 1,706.98 is: 2,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.76 : 7,490.32 = 1,706.98 : x
  2. Step 2: Convert to fraction form
    4,994.76/7,490.32 = 1,706.98/x
  3. Step 3: Cross multiply
    4,994.76x = 7,490.32 × 1,706.98
  4. Step 4: Simplify right side
    4,994.76x = 12,785,826.43
  5. Step 5: Solve for x
    x = 12,785,826.43/4,994.76
  6. Step 6: Final answer
    x = 2,559.85

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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.