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Finding the Fourth Proportional to 5,897.16, 8,845.08 and 1,514.64

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Solution

The fourth proportional to 5,897.16, 8,845.08 and 1,514.64 is: 2,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.16 : 8,845.08 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    5,897.16/8,845.08 = 1,514.64/x
  3. Step 3: Cross multiply
    5,897.16x = 8,845.08 × 1,514.64
  4. Step 4: Simplify right side
    5,897.16x = 13,397,111.97
  5. Step 5: Solve for x
    x = 13,397,111.97/5,897.16
  6. Step 6: Final answer
    x = 2,271.79

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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.