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Finding the Fourth Proportional to 4,785.37, 7,178.05 and 1,498.72

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Solution

The fourth proportional to 4,785.37, 7,178.05 and 1,498.72 is: 2,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.37 : 7,178.05 = 1,498.72 : x
  2. Step 2: Convert to fraction form
    4,785.37/7,178.05 = 1,498.72/x
  3. Step 3: Cross multiply
    4,785.37x = 7,178.05 × 1,498.72
  4. Step 4: Simplify right side
    4,785.37x = 10,757,871.02
  5. Step 5: Solve for x
    x = 10,757,871.02/4,785.37
  6. Step 6: Final answer
    x = 2,248.08

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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.