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Finding the Fourth Proportional to 3,970.34, 5,955.40 and 1,048.67

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Solution

The fourth proportional to 3,970.34, 5,955.40 and 1,048.67 is: 1,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.34 : 5,955.40 = 1,048.67 : x
  2. Step 2: Convert to fraction form
    3,970.34/5,955.40 = 1,048.67/x
  3. Step 3: Cross multiply
    3,970.34x = 5,955.40 × 1,048.67
  4. Step 4: Simplify right side
    3,970.34x = 6,245,243.18
  5. Step 5: Solve for x
    x = 6,245,243.18/3,970.34
  6. Step 6: Final answer
    x = 1,572.97

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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.