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Finding the Fourth Proportional to 5,432.57, 7,496.94 and 3,075.47

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Solution

The fourth proportional to 5,432.57, 7,496.94 and 3,075.47 is: 4,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.57 : 7,496.94 = 3,075.47 : x
  2. Step 2: Convert to fraction form
    5,432.57/7,496.94 = 3,075.47/x
  3. Step 3: Cross multiply
    5,432.57x = 7,496.94 × 3,075.47
  4. Step 4: Simplify right side
    5,432.57x = 23,056,561.20
  5. Step 5: Solve for x
    x = 23,056,561.20/5,432.57
  6. Step 6: Final answer
    x = 4,244.14

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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.