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Finding the Fourth Proportional to 3,852.60, 5,322.24 and 3,075

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Solution

The fourth proportional to 3,852.60, 5,322.24 and 3,075 is: 4,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.60 : 5,322.24 = 3,075 : x
  2. Step 2: Convert to fraction form
    3,852.60/5,322.24 = 3,075/x
  3. Step 3: Cross multiply
    3,852.60x = 5,322.24 × 3,075
  4. Step 4: Simplify right side
    3,852.60x = 16,365,888
  5. Step 5: Solve for x
    x = 16,365,888/3,852.60
  6. Step 6: Final answer
    x = 4,248.01

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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.