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Finding the Fourth Proportional to 4,784.37, 7,177.76 and 1,497.49

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Solution

The fourth proportional to 4,784.37, 7,177.76 and 1,497.49 is: 2,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.37 : 7,177.76 = 1,497.49 : x
  2. Step 2: Convert to fraction form
    4,784.37/7,177.76 = 1,497.49/x
  3. Step 3: Cross multiply
    4,784.37x = 7,177.76 × 1,497.49
  4. Step 4: Simplify right side
    4,784.37x = 10,748,612.43
  5. Step 5: Solve for x
    x = 10,748,612.43/4,784.37
  6. Step 6: Final answer
    x = 2,246.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.