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Finding the Fourth Proportional to 5,108.51, 7,697.54 and 4,204.35

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Solution

The fourth proportional to 5,108.51, 7,697.54 and 4,204.35 is: 6,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.51 : 7,697.54 = 4,204.35 : x
  2. Step 2: Convert to fraction form
    5,108.51/7,697.54 = 4,204.35/x
  3. Step 3: Cross multiply
    5,108.51x = 7,697.54 × 4,204.35
  4. Step 4: Simplify right side
    5,108.51x = 32,363,162.81
  5. Step 5: Solve for x
    x = 32,363,162.81/5,108.51
  6. Step 6: Final answer
    x = 6,335.14

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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.