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Finding the Fourth Proportional to 5,798.76, 8,702.75 and 2,102.04

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Solution

The fourth proportional to 5,798.76, 8,702.75 and 2,102.04 is: 3,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.76 : 8,702.75 = 2,102.04 : x
  2. Step 2: Convert to fraction form
    5,798.76/8,702.75 = 2,102.04/x
  3. Step 3: Cross multiply
    5,798.76x = 8,702.75 × 2,102.04
  4. Step 4: Simplify right side
    5,798.76x = 18,293,566.50
  5. Step 5: Solve for x
    x = 18,293,566.50/5,798.76
  6. Step 6: Final answer
    x = 3,154.74

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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.