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Finding the Fourth Proportional to 5,698.41, 8,549.00 and 2,776.05

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Solution

The fourth proportional to 5,698.41, 8,549.00 and 2,776.05 is: 4,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.41 : 8,549.00 = 2,776.05 : x
  2. Step 2: Convert to fraction form
    5,698.41/8,549.00 = 2,776.05/x
  3. Step 3: Cross multiply
    5,698.41x = 8,549.00 × 2,776.05
  4. Step 4: Simplify right side
    5,698.41x = 23,732,437.57
  5. Step 5: Solve for x
    x = 23,732,437.57/5,698.41
  6. Step 6: Final answer
    x = 4,164.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.