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Finding the Fourth Proportional to 5,806.49, 8,709.14 and 1,590.11

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Solution

The fourth proportional to 5,806.49, 8,709.14 and 1,590.11 is: 2,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.49 : 8,709.14 = 1,590.11 : x
  2. Step 2: Convert to fraction form
    5,806.49/8,709.14 = 1,590.11/x
  3. Step 3: Cross multiply
    5,806.49x = 8,709.14 × 1,590.11
  4. Step 4: Simplify right side
    5,806.49x = 13,848,523.74
  5. Step 5: Solve for x
    x = 13,848,523.74/5,806.49
  6. Step 6: Final answer
    x = 2,385.01

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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.