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Finding the Fourth Proportional to 4,165.80, 5,737.11 and 4,075.08

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Solution

The fourth proportional to 4,165.80, 5,737.11 and 4,075.08 is: 5,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.80 : 5,737.11 = 4,075.08 : x
  2. Step 2: Convert to fraction form
    4,165.80/5,737.11 = 4,075.08/x
  3. Step 3: Cross multiply
    4,165.80x = 5,737.11 × 4,075.08
  4. Step 4: Simplify right side
    4,165.80x = 23,379,182.22
  5. Step 5: Solve for x
    x = 23,379,182.22/4,165.80
  6. Step 6: Final answer
    x = 5,612.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.