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Finding the Fourth Proportional to 5,444.22, 7,509.78 and 4,123.02

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Solution

The fourth proportional to 5,444.22, 7,509.78 and 4,123.02 is: 5,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.22 : 7,509.78 = 4,123.02 : x
  2. Step 2: Convert to fraction form
    5,444.22/7,509.78 = 4,123.02/x
  3. Step 3: Cross multiply
    5,444.22x = 7,509.78 × 4,123.02
  4. Step 4: Simplify right side
    5,444.22x = 30,962,973.14
  5. Step 5: Solve for x
    x = 30,962,973.14/5,444.22
  6. Step 6: Final answer
    x = 5,687.31

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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.