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Finding the Fourth Proportional to 3,647.57, 5,033.63 and 2,075.66

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Solution

The fourth proportional to 3,647.57, 5,033.63 and 2,075.66 is: 2,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.57 : 5,033.63 = 2,075.66 : x
  2. Step 2: Convert to fraction form
    3,647.57/5,033.63 = 2,075.66/x
  3. Step 3: Cross multiply
    3,647.57x = 5,033.63 × 2,075.66
  4. Step 4: Simplify right side
    3,647.57x = 10,448,068.90
  5. Step 5: Solve for x
    x = 10,448,068.90/3,647.57
  6. Step 6: Final answer
    x = 2,864.40

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