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Finding the Fourth Proportional to 3,542, 5,315.16 and 1,490

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Solution

The fourth proportional to 3,542, 5,315.16 and 1,490 is: 2,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542 : 5,315.16 = 1,490 : x
  2. Step 2: Convert to fraction form
    3,542/5,315.16 = 1,490/x
  3. Step 3: Cross multiply
    3,542x = 5,315.16 × 1,490
  4. Step 4: Simplify right side
    3,542x = 7,919,588.40
  5. Step 5: Solve for x
    x = 7,919,588.40/3,542
  6. Step 6: Final answer
    x = 2,235.91

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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.