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Finding the Fourth Proportional to 5,899.32, 8,849.16 and 1,516.74

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Solution

The fourth proportional to 5,899.32, 8,849.16 and 1,516.74 is: 2,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.32 : 8,849.16 = 1,516.74 : x
  2. Step 2: Convert to fraction form
    5,899.32/8,849.16 = 1,516.74/x
  3. Step 3: Cross multiply
    5,899.32x = 8,849.16 × 1,516.74
  4. Step 4: Simplify right side
    5,899.32x = 13,421,874.94
  5. Step 5: Solve for x
    x = 13,421,874.94/5,899.32
  6. Step 6: Final answer
    x = 2,275.16

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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.