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Finding the Fourth Proportional to 4,091.60, 5,646.40 and 2,228.60

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Solution

The fourth proportional to 4,091.60, 5,646.40 and 2,228.60 is: 3,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.60 : 5,646.40 = 2,228.60 : x
  2. Step 2: Convert to fraction form
    4,091.60/5,646.40 = 2,228.60/x
  3. Step 3: Cross multiply
    4,091.60x = 5,646.40 × 2,228.60
  4. Step 4: Simplify right side
    4,091.60x = 12,583,544.38
  5. Step 5: Solve for x
    x = 12,583,544.38/4,091.60
  6. Step 6: Final answer
    x = 3,075.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.