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Finding the Fourth Proportional to 4,645.34, 6,403.05 and 3,152.78

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Solution

The fourth proportional to 4,645.34, 6,403.05 and 3,152.78 is: 4,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.34 : 6,403.05 = 3,152.78 : x
  2. Step 2: Convert to fraction form
    4,645.34/6,403.05 = 3,152.78/x
  3. Step 3: Cross multiply
    4,645.34x = 6,403.05 × 3,152.78
  4. Step 4: Simplify right side
    4,645.34x = 20,187,407.98
  5. Step 5: Solve for x
    x = 20,187,407.98/4,645.34
  6. Step 6: Final answer
    x = 4,345.73

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