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Finding the Fourth Proportional to 3,954.96, 5,901.74 and 3,430.08

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Solution

The fourth proportional to 3,954.96, 5,901.74 and 3,430.08 is: 5,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.96 : 5,901.74 = 3,430.08 : x
  2. Step 2: Convert to fraction form
    3,954.96/5,901.74 = 3,430.08/x
  3. Step 3: Cross multiply
    3,954.96x = 5,901.74 × 3,430.08
  4. Step 4: Simplify right side
    3,954.96x = 20,243,423.19
  5. Step 5: Solve for x
    x = 20,243,423.19/3,954.96
  6. Step 6: Final answer
    x = 5,118.49

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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.