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Finding the Fourth Proportional to 3,466.64, 5,202.08 and 1,712.77

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Solution

The fourth proportional to 3,466.64, 5,202.08 and 1,712.77 is: 2,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.64 : 5,202.08 = 1,712.77 : x
  2. Step 2: Convert to fraction form
    3,466.64/5,202.08 = 1,712.77/x
  3. Step 3: Cross multiply
    3,466.64x = 5,202.08 × 1,712.77
  4. Step 4: Simplify right side
    3,466.64x = 8,909,966.56
  5. Step 5: Solve for x
    x = 8,909,966.56/3,466.64
  6. Step 6: Final answer
    x = 2,570.20

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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.