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Finding the Fourth Proportional to 4,059.42, 5,602.24 and 2,266.90

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Solution

The fourth proportional to 4,059.42, 5,602.24 and 2,266.90 is: 3,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.42 : 5,602.24 = 2,266.90 : x
  2. Step 2: Convert to fraction form
    4,059.42/5,602.24 = 2,266.90/x
  3. Step 3: Cross multiply
    4,059.42x = 5,602.24 × 2,266.90
  4. Step 4: Simplify right side
    4,059.42x = 12,699,678.51
  5. Step 5: Solve for x
    x = 12,699,678.51/4,059.42
  6. Step 6: Final answer
    x = 3,128.45

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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.