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Finding the Fourth Proportional to 4,570.65, 6,858.93 and 1,649.16

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Solution

The fourth proportional to 4,570.65, 6,858.93 and 1,649.16 is: 2,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.65 : 6,858.93 = 1,649.16 : x
  2. Step 2: Convert to fraction form
    4,570.65/6,858.93 = 1,649.16/x
  3. Step 3: Cross multiply
    4,570.65x = 6,858.93 × 1,649.16
  4. Step 4: Simplify right side
    4,570.65x = 11,311,473.00
  5. Step 5: Solve for x
    x = 11,311,473.00/4,570.65
  6. Step 6: Final answer
    x = 2,474.81

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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.