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Finding the Fourth Proportional to 4,746.26, 7,113.27 and 2,275.94

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Solution

The fourth proportional to 4,746.26, 7,113.27 and 2,275.94 is: 3,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.26 : 7,113.27 = 2,275.94 : x
  2. Step 2: Convert to fraction form
    4,746.26/7,113.27 = 2,275.94/x
  3. Step 3: Cross multiply
    4,746.26x = 7,113.27 × 2,275.94
  4. Step 4: Simplify right side
    4,746.26x = 16,189,375.72
  5. Step 5: Solve for x
    x = 16,189,375.72/4,746.26
  6. Step 6: Final answer
    x = 3,410.98

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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.