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Finding the Fourth Proportional to 4,908, 7,365.24 and 1,830

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Solution

The fourth proportional to 4,908, 7,365.24 and 1,830 is: 2,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908 : 7,365.24 = 1,830 : x
  2. Step 2: Convert to fraction form
    4,908/7,365.24 = 1,830/x
  3. Step 3: Cross multiply
    4,908x = 7,365.24 × 1,830
  4. Step 4: Simplify right side
    4,908x = 13,478,389.20
  5. Step 5: Solve for x
    x = 13,478,389.20/4,908
  6. Step 6: Final answer
    x = 2,746.21

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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.