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Finding the Fourth Proportional to 5,802.90, 8,705.61 and 1,907.22

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Solution

The fourth proportional to 5,802.90, 8,705.61 and 1,907.22 is: 2,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.90 : 8,705.61 = 1,907.22 : x
  2. Step 2: Convert to fraction form
    5,802.90/8,705.61 = 1,907.22/x
  3. Step 3: Cross multiply
    5,802.90x = 8,705.61 × 1,907.22
  4. Step 4: Simplify right side
    5,802.90x = 16,603,513.50
  5. Step 5: Solve for x
    x = 16,603,513.50/5,802.90
  6. Step 6: Final answer
    x = 2,861.24

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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.