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Finding the Fourth Proportional to 4,116.68, 5,681.00 and 2,228.27

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Solution

The fourth proportional to 4,116.68, 5,681.00 and 2,228.27 is: 3,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.68 : 5,681.00 = 2,228.27 : x
  2. Step 2: Convert to fraction form
    4,116.68/5,681.00 = 2,228.27/x
  3. Step 3: Cross multiply
    4,116.68x = 5,681.00 × 2,228.27
  4. Step 4: Simplify right side
    4,116.68x = 12,658,762.32
  5. Step 5: Solve for x
    x = 12,658,762.32/4,116.68
  6. Step 6: Final answer
    x = 3,075.00

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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.