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Finding the Fourth Proportional to 3,970.04, 5,954.92 and 1,501.96

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Solution

The fourth proportional to 3,970.04, 5,954.92 and 1,501.96 is: 2,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.04 : 5,954.92 = 1,501.96 : x
  2. Step 2: Convert to fraction form
    3,970.04/5,954.92 = 1,501.96/x
  3. Step 3: Cross multiply
    3,970.04x = 5,954.92 × 1,501.96
  4. Step 4: Simplify right side
    3,970.04x = 8,944,051.64
  5. Step 5: Solve for x
    x = 8,944,051.64/3,970.04
  6. Step 6: Final answer
    x = 2,252.89

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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.