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Finding the Fourth Proportional to 5,887.90, 8,874.19 and 5,075.98

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Solution

The fourth proportional to 5,887.90, 8,874.19 and 5,075.98 is: 7,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.90 : 8,874.19 = 5,075.98 : x
  2. Step 2: Convert to fraction form
    5,887.90/8,874.19 = 5,075.98/x
  3. Step 3: Cross multiply
    5,887.90x = 8,874.19 × 5,075.98
  4. Step 4: Simplify right side
    5,887.90x = 45,045,210.96
  5. Step 5: Solve for x
    x = 45,045,210.96/5,887.90
  6. Step 6: Final answer
    x = 7,650.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.