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Finding the Fourth Proportional to 5,798.61, 8,699.54 and 1,905.75

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Solution

The fourth proportional to 5,798.61, 8,699.54 and 1,905.75 is: 2,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.61 : 8,699.54 = 1,905.75 : x
  2. Step 2: Convert to fraction form
    5,798.61/8,699.54 = 1,905.75/x
  3. Step 3: Cross multiply
    5,798.61x = 8,699.54 × 1,905.75
  4. Step 4: Simplify right side
    5,798.61x = 16,579,138.83
  5. Step 5: Solve for x
    x = 16,579,138.83/5,798.61
  6. Step 6: Final answer
    x = 2,859.16

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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.