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Finding the Fourth Proportional to 3,574.17, 5,361.19 and 977.10

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Solution

The fourth proportional to 3,574.17, 5,361.19 and 977.10 is: 1,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.17 : 5,361.19 = 977.10 : x
  2. Step 2: Convert to fraction form
    3,574.17/5,361.19 = 977.10/x
  3. Step 3: Cross multiply
    3,574.17x = 5,361.19 × 977.10
  4. Step 4: Simplify right side
    3,574.17x = 5,238,418.75
  5. Step 5: Solve for x
    x = 5,238,418.75/3,574.17
  6. Step 6: Final answer
    x = 1,465.63

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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.