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Finding the Fourth Proportional to 4,539.52, 6,809.32 and 1,461.52

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Solution

The fourth proportional to 4,539.52, 6,809.32 and 1,461.52 is: 2,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.52 : 6,809.32 = 1,461.52 : x
  2. Step 2: Convert to fraction form
    4,539.52/6,809.32 = 1,461.52/x
  3. Step 3: Cross multiply
    4,539.52x = 6,809.32 × 1,461.52
  4. Step 4: Simplify right side
    4,539.52x = 9,951,957.37
  5. Step 5: Solve for x
    x = 9,951,957.37/4,539.52
  6. Step 6: Final answer
    x = 2,192.29

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1.5x scale

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.