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Finding the Fourth Proportional to 6,303.46, 8,698.71 and 3,470.78

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Solution

The fourth proportional to 6,303.46, 8,698.71 and 3,470.78 is: 4,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.46 : 8,698.71 = 3,470.78 : x
  2. Step 2: Convert to fraction form
    6,303.46/8,698.71 = 3,470.78/x
  3. Step 3: Cross multiply
    6,303.46x = 8,698.71 × 3,470.78
  4. Step 4: Simplify right side
    6,303.46x = 30,191,284.80
  5. Step 5: Solve for x
    x = 30,191,284.80/6,303.46
  6. Step 6: Final answer
    x = 4,789.64

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