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Finding the Fourth Proportional to 4,645.63, 6,410.96 and 2,549.71

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Solution

The fourth proportional to 4,645.63, 6,410.96 and 2,549.71 is: 3,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.63 : 6,410.96 = 2,549.71 : x
  2. Step 2: Convert to fraction form
    4,645.63/6,410.96 = 2,549.71/x
  3. Step 3: Cross multiply
    4,645.63x = 6,410.96 × 2,549.71
  4. Step 4: Simplify right side
    4,645.63x = 16,346,088.82
  5. Step 5: Solve for x
    x = 16,346,088.82/4,645.63
  6. Step 6: Final answer
    x = 3,518.59

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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.