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Finding the Fourth Proportional to 3,389.64, 4,682.22 and 3,075.24

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Solution

The fourth proportional to 3,389.64, 4,682.22 and 3,075.24 is: 4,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.64 : 4,682.22 = 3,075.24 : x
  2. Step 2: Convert to fraction form
    3,389.64/4,682.22 = 3,075.24/x
  3. Step 3: Cross multiply
    3,389.64x = 4,682.22 × 3,075.24
  4. Step 4: Simplify right side
    3,389.64x = 14,398,950.23
  5. Step 5: Solve for x
    x = 14,398,950.23/3,389.64
  6. Step 6: Final answer
    x = 4,247.93

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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.