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Finding the Fourth Proportional to 3,970.65, 5,955.99 and 1,630.05

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Solution

The fourth proportional to 3,970.65, 5,955.99 and 1,630.05 is: 2,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.65 : 5,955.99 = 1,630.05 : x
  2. Step 2: Convert to fraction form
    3,970.65/5,955.99 = 1,630.05/x
  3. Step 3: Cross multiply
    3,970.65x = 5,955.99 × 1,630.05
  4. Step 4: Simplify right side
    3,970.65x = 9,708,561.50
  5. Step 5: Solve for x
    x = 9,708,561.50/3,970.65
  6. Step 6: Final answer
    x = 2,445.08

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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.