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Finding the Fourth Proportional to 3,574.48, 5,361.98 and 977.36

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Solution

The fourth proportional to 3,574.48, 5,361.98 and 977.36 is: 1,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.48 : 5,361.98 = 977.36 : x
  2. Step 2: Convert to fraction form
    3,574.48/5,361.98 = 977.36/x
  3. Step 3: Cross multiply
    3,574.48x = 5,361.98 × 977.36
  4. Step 4: Simplify right side
    3,574.48x = 5,240,584.77
  5. Step 5: Solve for x
    x = 5,240,584.77/3,574.48
  6. Step 6: Final answer
    x = 1,466.11

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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.