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Finding the Fourth Proportional to 3,575.00, 5,361.90 and 977.94

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Solution

The fourth proportional to 3,575.00, 5,361.90 and 977.94 is: 1,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.00 : 5,361.90 = 977.94 : x
  2. Step 2: Convert to fraction form
    3,575.00/5,361.90 = 977.94/x
  3. Step 3: Cross multiply
    3,575.00x = 5,361.90 × 977.94
  4. Step 4: Simplify right side
    3,575.00x = 5,243,612.82
  5. Step 5: Solve for x
    x = 5,243,612.82/3,575.00
  6. Step 6: Final answer
    x = 1,466.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.