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Finding the Fourth Proportional to 3,516.91, 5,275.31 and 1,051.67

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Solution

The fourth proportional to 3,516.91, 5,275.31 and 1,051.67 is: 1,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.91 : 5,275.31 = 1,051.67 : x
  2. Step 2: Convert to fraction form
    3,516.91/5,275.31 = 1,051.67/x
  3. Step 3: Cross multiply
    3,516.91x = 5,275.31 × 1,051.67
  4. Step 4: Simplify right side
    3,516.91x = 5,547,885.27
  5. Step 5: Solve for x
    x = 5,547,885.27/3,516.91
  6. Step 6: Final answer
    x = 1,577.49

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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.