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Finding the Fourth Proportional to 6,905.08, 10,360.80 and 2,957.52

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Solution

The fourth proportional to 6,905.08, 10,360.80 and 2,957.52 is: 4,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.08 : 10,360.80 = 2,957.52 : x
  2. Step 2: Convert to fraction form
    6,905.08/10,360.80 = 2,957.52/x
  3. Step 3: Cross multiply
    6,905.08x = 10,360.80 × 2,957.52
  4. Step 4: Simplify right side
    6,905.08x = 30,642,273.22
  5. Step 5: Solve for x
    x = 30,642,273.22/6,905.08
  6. Step 6: Final answer
    x = 4,437.64

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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.