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Finding the Fourth Proportional to 5,627.28, 7,756.40 and 4,506.24

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Solution

The fourth proportional to 5,627.28, 7,756.40 and 4,506.24 is: 6,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.28 : 7,756.40 = 4,506.24 : x
  2. Step 2: Convert to fraction form
    5,627.28/7,756.40 = 4,506.24/x
  3. Step 3: Cross multiply
    5,627.28x = 7,756.40 × 4,506.24
  4. Step 4: Simplify right side
    5,627.28x = 34,952,199.94
  5. Step 5: Solve for x
    x = 34,952,199.94/5,627.28
  6. Step 6: Final answer
    x = 6,211.21

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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.