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Finding the Fourth Proportional to 3,574.19, 5,361.52 and 977.13

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Solution

The fourth proportional to 3,574.19, 5,361.52 and 977.13 is: 1,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.19 : 5,361.52 = 977.13 : x
  2. Step 2: Convert to fraction form
    3,574.19/5,361.52 = 977.13/x
  3. Step 3: Cross multiply
    3,574.19x = 5,361.52 × 977.13
  4. Step 4: Simplify right side
    3,574.19x = 5,238,902.04
  5. Step 5: Solve for x
    x = 5,238,902.04/3,574.19
  6. Step 6: Final answer
    x = 1,465.76

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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.