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Finding the Fourth Proportional to 4,723.45, 7,113.29 and 4,114.51

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Solution

The fourth proportional to 4,723.45, 7,113.29 and 4,114.51 is: 6,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.45 : 7,113.29 = 4,114.51 : x
  2. Step 2: Convert to fraction form
    4,723.45/7,113.29 = 4,114.51/x
  3. Step 3: Cross multiply
    4,723.45x = 7,113.29 × 4,114.51
  4. Step 4: Simplify right side
    4,723.45x = 29,267,702.84
  5. Step 5: Solve for x
    x = 29,267,702.84/4,723.45
  6. Step 6: Final answer
    x = 6,196.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.