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Finding the Fourth Proportional to 5,772.18, 8,648.46 and 5,212.02

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Solution

The fourth proportional to 5,772.18, 8,648.46 and 5,212.02 is: 7,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.18 : 8,648.46 = 5,212.02 : x
  2. Step 2: Convert to fraction form
    5,772.18/8,648.46 = 5,212.02/x
  3. Step 3: Cross multiply
    5,772.18x = 8,648.46 × 5,212.02
  4. Step 4: Simplify right side
    5,772.18x = 45,075,946.49
  5. Step 5: Solve for x
    x = 45,075,946.49/5,772.18
  6. Step 6: Final answer
    x = 7,809.17

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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.