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Finding the Fourth Proportional to 6,075.77, 8,384.60 and 3,422.93

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Solution

The fourth proportional to 6,075.77, 8,384.60 and 3,422.93 is: 4,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.77 : 8,384.60 = 3,422.93 : x
  2. Step 2: Convert to fraction form
    6,075.77/8,384.60 = 3,422.93/x
  3. Step 3: Cross multiply
    6,075.77x = 8,384.60 × 3,422.93
  4. Step 4: Simplify right side
    6,075.77x = 28,699,898.88
  5. Step 5: Solve for x
    x = 28,699,898.88/6,075.77
  6. Step 6: Final answer
    x = 4,723.66

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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.