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Finding the Fourth Proportional to 6,489.54, 8,956.30 and 3,657.00

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Solution

The fourth proportional to 6,489.54, 8,956.30 and 3,657.00 is: 5,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.54 : 8,956.30 = 3,657.00 : x
  2. Step 2: Convert to fraction form
    6,489.54/8,956.30 = 3,657.00/x
  3. Step 3: Cross multiply
    6,489.54x = 8,956.30 × 3,657.00
  4. Step 4: Simplify right side
    6,489.54x = 32,753,159.74
  5. Step 5: Solve for x
    x = 32,753,159.74/6,489.54
  6. Step 6: Final answer
    x = 5,047.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.