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Finding the Fourth Proportional to 4,694.52, 7,041.51 and 1,574.40

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Solution

The fourth proportional to 4,694.52, 7,041.51 and 1,574.40 is: 2,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.52 : 7,041.51 = 1,574.40 : x
  2. Step 2: Convert to fraction form
    4,694.52/7,041.51 = 1,574.40/x
  3. Step 3: Cross multiply
    4,694.52x = 7,041.51 × 1,574.40
  4. Step 4: Simplify right side
    4,694.52x = 11,086,153.34
  5. Step 5: Solve for x
    x = 11,086,153.34/4,694.52
  6. Step 6: Final answer
    x = 2,361.51

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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.