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Finding the Fourth Proportional to 5,898.77, 8,848.47 and 1,516.26

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Solution

The fourth proportional to 5,898.77, 8,848.47 and 1,516.26 is: 2,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.77 : 8,848.47 = 1,516.26 : x
  2. Step 2: Convert to fraction form
    5,898.77/8,848.47 = 1,516.26/x
  3. Step 3: Cross multiply
    5,898.77x = 8,848.47 × 1,516.26
  4. Step 4: Simplify right side
    5,898.77x = 13,416,581.12
  5. Step 5: Solve for x
    x = 13,416,581.12/5,898.77
  6. Step 6: Final answer
    x = 2,274.47

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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.