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Finding the Fourth Proportional to 6,038.14, 9,056.10 and 2,527.20

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Solution

The fourth proportional to 6,038.14, 9,056.10 and 2,527.20 is: 3,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.14 : 9,056.10 = 2,527.20 : x
  2. Step 2: Convert to fraction form
    6,038.14/9,056.10 = 2,527.20/x
  3. Step 3: Cross multiply
    6,038.14x = 9,056.10 × 2,527.20
  4. Step 4: Simplify right side
    6,038.14x = 22,886,575.92
  5. Step 5: Solve for x
    x = 22,886,575.92/6,038.14
  6. Step 6: Final answer
    x = 3,790.34

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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.