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Finding the Fourth Proportional to 5,583, 8,381.76 and 4,722.76

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Solution

The fourth proportional to 5,583, 8,381.76 and 4,722.76 is: 7,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583 : 8,381.76 = 4,722.76 : x
  2. Step 2: Convert to fraction form
    5,583/8,381.76 = 4,722.76/x
  3. Step 3: Cross multiply
    5,583x = 8,381.76 × 4,722.76
  4. Step 4: Simplify right side
    5,583x = 39,585,040.86
  5. Step 5: Solve for x
    x = 39,585,040.86/5,583
  6. Step 6: Final answer
    x = 7,090.28

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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.