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Finding the Fourth Proportional to 5,699, 8,549.36 and 2,000.58

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Solution

The fourth proportional to 5,699, 8,549.36 and 2,000.58 is: 3,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699 : 8,549.36 = 2,000.58 : x
  2. Step 2: Convert to fraction form
    5,699/8,549.36 = 2,000.58/x
  3. Step 3: Cross multiply
    5,699x = 8,549.36 × 2,000.58
  4. Step 4: Simplify right side
    5,699x = 17,103,668.63
  5. Step 5: Solve for x
    x = 17,103,668.63/5,699
  6. Step 6: Final answer
    x = 3,001.17

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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.