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Finding the Fourth Proportional to 5,970.46, 8,955 and 1,809.52

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Solution

The fourth proportional to 5,970.46, 8,955 and 1,809.52 is: 2,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.46 : 8,955 = 1,809.52 : x
  2. Step 2: Convert to fraction form
    5,970.46/8,955 = 1,809.52/x
  3. Step 3: Cross multiply
    5,970.46x = 8,955 × 1,809.52
  4. Step 4: Simplify right side
    5,970.46x = 16,204,251.60
  5. Step 5: Solve for x
    x = 16,204,251.60/5,970.46
  6. Step 6: Final answer
    x = 2,714.07

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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.