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Finding the Fourth Proportional to 4,860.91, 7,292.52 and 1,574

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Solution

The fourth proportional to 4,860.91, 7,292.52 and 1,574 is: 2,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.91 : 7,292.52 = 1,574 : x
  2. Step 2: Convert to fraction form
    4,860.91/7,292.52 = 1,574/x
  3. Step 3: Cross multiply
    4,860.91x = 7,292.52 × 1,574
  4. Step 4: Simplify right side
    4,860.91x = 11,478,426.48
  5. Step 5: Solve for x
    x = 11,478,426.48/4,860.91
  6. Step 6: Final answer
    x = 2,361.38

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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.