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Finding the Fourth Proportional to 7,354.22, 10,149 and 4,210.34

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Solution

The fourth proportional to 7,354.22, 10,149 and 4,210.34 is: 5,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.22 : 10,149 = 4,210.34 : x
  2. Step 2: Convert to fraction form
    7,354.22/10,149 = 4,210.34/x
  3. Step 3: Cross multiply
    7,354.22x = 10,149 × 4,210.34
  4. Step 4: Simplify right side
    7,354.22x = 42,730,740.66
  5. Step 5: Solve for x
    x = 42,730,740.66/7,354.22
  6. Step 6: Final answer
    x = 5,810.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.