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Finding the Fourth Proportional to 4,551.90, 6,825.03 and 1,775.34

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Solution

The fourth proportional to 4,551.90, 6,825.03 and 1,775.34 is: 2,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.90 : 6,825.03 = 1,775.34 : x
  2. Step 2: Convert to fraction form
    4,551.90/6,825.03 = 1,775.34/x
  3. Step 3: Cross multiply
    4,551.90x = 6,825.03 × 1,775.34
  4. Step 4: Simplify right side
    4,551.90x = 12,116,748.76
  5. Step 5: Solve for x
    x = 12,116,748.76/4,551.90
  6. Step 6: Final answer
    x = 2,661.91

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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.