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Finding the Fourth Proportional to 6,038.42, 9,056.72 and 2,705.98

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Solution

The fourth proportional to 6,038.42, 9,056.72 and 2,705.98 is: 4,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.42 : 9,056.72 = 2,705.98 : x
  2. Step 2: Convert to fraction form
    6,038.42/9,056.72 = 2,705.98/x
  3. Step 3: Cross multiply
    6,038.42x = 9,056.72 × 2,705.98
  4. Step 4: Simplify right side
    6,038.42x = 24,507,321.27
  5. Step 5: Solve for x
    x = 24,507,321.27/6,038.42
  6. Step 6: Final answer
    x = 4,058.56

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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.