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Finding the Fourth Proportional to 5,898.93, 8,848.89 and 1,516.38

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Solution

The fourth proportional to 5,898.93, 8,848.89 and 1,516.38 is: 2,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.93 : 8,848.89 = 1,516.38 : x
  2. Step 2: Convert to fraction form
    5,898.93/8,848.89 = 1,516.38/x
  3. Step 3: Cross multiply
    5,898.93x = 8,848.89 × 1,516.38
  4. Step 4: Simplify right side
    5,898.93x = 13,418,279.82
  5. Step 5: Solve for x
    x = 13,418,279.82/5,898.93
  6. Step 6: Final answer
    x = 2,274.70

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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.