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Finding the Fourth Proportional to 5,953.16, 8,931.90 and 2,057.96

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Solution

The fourth proportional to 5,953.16, 8,931.90 and 2,057.96 is: 3,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.16 : 8,931.90 = 2,057.96 : x
  2. Step 2: Convert to fraction form
    5,953.16/8,931.90 = 2,057.96/x
  3. Step 3: Cross multiply
    5,953.16x = 8,931.90 × 2,057.96
  4. Step 4: Simplify right side
    5,953.16x = 18,381,492.92
  5. Step 5: Solve for x
    x = 18,381,492.92/5,953.16
  6. Step 6: Final answer
    x = 3,087.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.