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Finding the Fourth Proportional to 5,056.56, 6,977.16 and 3,731.40

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Solution

The fourth proportional to 5,056.56, 6,977.16 and 3,731.40 is: 5,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.56 : 6,977.16 = 3,731.40 : x
  2. Step 2: Convert to fraction form
    5,056.56/6,977.16 = 3,731.40/x
  3. Step 3: Cross multiply
    5,056.56x = 6,977.16 × 3,731.40
  4. Step 4: Simplify right side
    5,056.56x = 26,034,574.82
  5. Step 5: Solve for x
    x = 26,034,574.82/5,056.56
  6. Step 6: Final answer
    x = 5,148.67

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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.