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Finding the Fourth Proportional to 5,527, 7,627.26 and 3,043

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Solution

The fourth proportional to 5,527, 7,627.26 and 3,043 is: 4,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527 : 7,627.26 = 3,043 : x
  2. Step 2: Convert to fraction form
    5,527/7,627.26 = 3,043/x
  3. Step 3: Cross multiply
    5,527x = 7,627.26 × 3,043
  4. Step 4: Simplify right side
    5,527x = 23,209,752.18
  5. Step 5: Solve for x
    x = 23,209,752.18/5,527
  6. Step 6: Final answer
    x = 4,199.34

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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.