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Finding the Fourth Proportional to 4,830.48, 7,202.45 and 4,743

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Solution

The fourth proportional to 4,830.48, 7,202.45 and 4,743 is: 7,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.48 : 7,202.45 = 4,743 : x
  2. Step 2: Convert to fraction form
    4,830.48/7,202.45 = 4,743/x
  3. Step 3: Cross multiply
    4,830.48x = 7,202.45 × 4,743
  4. Step 4: Simplify right side
    4,830.48x = 34,161,232.21
  5. Step 5: Solve for x
    x = 34,161,232.21/4,830.48
  6. Step 6: Final answer
    x = 7,072.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.