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Finding the Fourth Proportional to 6,451.32, 8,903.34 and 4,354.68

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Solution

The fourth proportional to 6,451.32, 8,903.34 and 4,354.68 is: 6,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.32 : 8,903.34 = 4,354.68 : x
  2. Step 2: Convert to fraction form
    6,451.32/8,903.34 = 4,354.68/x
  3. Step 3: Cross multiply
    6,451.32x = 8,903.34 × 4,354.68
  4. Step 4: Simplify right side
    6,451.32x = 38,771,196.63
  5. Step 5: Solve for x
    x = 38,771,196.63/6,451.32
  6. Step 6: Final answer
    x = 6,009.81

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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.