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Finding the Fourth Proportional to 4,645.69, 6,411.05 and 2,549.95

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Solution

The fourth proportional to 4,645.69, 6,411.05 and 2,549.95 is: 3,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.69 : 6,411.05 = 2,549.95 : x
  2. Step 2: Convert to fraction form
    4,645.69/6,411.05 = 2,549.95/x
  3. Step 3: Cross multiply
    4,645.69x = 6,411.05 × 2,549.95
  4. Step 4: Simplify right side
    4,645.69x = 16,347,837.73
  5. Step 5: Solve for x
    x = 16,347,837.73/4,645.69
  6. Step 6: Final answer
    x = 3,518.93

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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.