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Finding the Fourth Proportional to 4,706.56, 7,060.50 and 1,419.28

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Solution

The fourth proportional to 4,706.56, 7,060.50 and 1,419.28 is: 2,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.56 : 7,060.50 = 1,419.28 : x
  2. Step 2: Convert to fraction form
    4,706.56/7,060.50 = 1,419.28/x
  3. Step 3: Cross multiply
    4,706.56x = 7,060.50 × 1,419.28
  4. Step 4: Simplify right side
    4,706.56x = 10,020,826.44
  5. Step 5: Solve for x
    x = 10,020,826.44/4,706.56
  6. Step 6: Final answer
    x = 2,129.12

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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.