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Finding the Fourth Proportional to 5,742.77, 8,653.22 and 4,725.58

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Solution

The fourth proportional to 5,742.77, 8,653.22 and 4,725.58 is: 7,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.77 : 8,653.22 = 4,725.58 : x
  2. Step 2: Convert to fraction form
    5,742.77/8,653.22 = 4,725.58/x
  3. Step 3: Cross multiply
    5,742.77x = 8,653.22 × 4,725.58
  4. Step 4: Simplify right side
    5,742.77x = 40,891,495.18
  5. Step 5: Solve for x
    x = 40,891,495.18/5,742.77
  6. Step 6: Final answer
    x = 7,120.52

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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.