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Finding the Fourth Proportional to 4,971.29, 7,455.04 and 1,460.55

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Solution

The fourth proportional to 4,971.29, 7,455.04 and 1,460.55 is: 2,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.29 : 7,455.04 = 1,460.55 : x
  2. Step 2: Convert to fraction form
    4,971.29/7,455.04 = 1,460.55/x
  3. Step 3: Cross multiply
    4,971.29x = 7,455.04 × 1,460.55
  4. Step 4: Simplify right side
    4,971.29x = 10,888,441.04
  5. Step 5: Solve for x
    x = 10,888,441.04/4,971.29
  6. Step 6: Final answer
    x = 2,190.26

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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.