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Finding the Fourth Proportional to 4,333.44, 6,473.76 and 3,564.48

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Solution

The fourth proportional to 4,333.44, 6,473.76 and 3,564.48 is: 5,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.44 : 6,473.76 = 3,564.48 : x
  2. Step 2: Convert to fraction form
    4,333.44/6,473.76 = 3,564.48/x
  3. Step 3: Cross multiply
    4,333.44x = 6,473.76 × 3,564.48
  4. Step 4: Simplify right side
    4,333.44x = 23,075,588.04
  5. Step 5: Solve for x
    x = 23,075,588.04/4,333.44
  6. Step 6: Final answer
    x = 5,325.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.