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Finding the Fourth Proportional to 3,383.32, 5,075.16 and 1,534.57

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Solution

The fourth proportional to 3,383.32, 5,075.16 and 1,534.57 is: 2,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.32 : 5,075.16 = 1,534.57 : x
  2. Step 2: Convert to fraction form
    3,383.32/5,075.16 = 1,534.57/x
  3. Step 3: Cross multiply
    3,383.32x = 5,075.16 × 1,534.57
  4. Step 4: Simplify right side
    3,383.32x = 7,788,188.28
  5. Step 5: Solve for x
    x = 7,788,188.28/3,383.32
  6. Step 6: Final answer
    x = 2,301.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.