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Finding the Fourth Proportional to 4,742.97, 7,113.36 and 2,402.31

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Solution

The fourth proportional to 4,742.97, 7,113.36 and 2,402.31 is: 3,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.97 : 7,113.36 = 2,402.31 : x
  2. Step 2: Convert to fraction form
    4,742.97/7,113.36 = 2,402.31/x
  3. Step 3: Cross multiply
    4,742.97x = 7,113.36 × 2,402.31
  4. Step 4: Simplify right side
    4,742.97x = 17,088,495.86
  5. Step 5: Solve for x
    x = 17,088,495.86/4,742.97
  6. Step 6: Final answer
    x = 3,602.91

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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.