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Finding the Fourth Proportional to 6,577.61, 9,075.61 and 3,924.50

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Solution

The fourth proportional to 6,577.61, 9,075.61 and 3,924.50 is: 5,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.61 : 9,075.61 = 3,924.50 : x
  2. Step 2: Convert to fraction form
    6,577.61/9,075.61 = 3,924.50/x
  3. Step 3: Cross multiply
    6,577.61x = 9,075.61 × 3,924.50
  4. Step 4: Simplify right side
    6,577.61x = 35,617,231.45
  5. Step 5: Solve for x
    x = 35,617,231.45/6,577.61
  6. Step 6: Final answer
    x = 5,414.92

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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.