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Finding the Fourth Proportional to 4,785.48, 7,178.13 and 1,865.79

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Solution

The fourth proportional to 4,785.48, 7,178.13 and 1,865.79 is: 2,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.48 : 7,178.13 = 1,865.79 : x
  2. Step 2: Convert to fraction form
    4,785.48/7,178.13 = 1,865.79/x
  3. Step 3: Cross multiply
    4,785.48x = 7,178.13 × 1,865.79
  4. Step 4: Simplify right side
    4,785.48x = 13,392,883.17
  5. Step 5: Solve for x
    x = 13,392,883.17/4,785.48
  6. Step 6: Final answer
    x = 2,798.65

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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.