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Finding the Fourth Proportional to 4,642.43, 6,964.65 and 2,303.70

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Solution

The fourth proportional to 4,642.43, 6,964.65 and 2,303.70 is: 3,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.43 : 6,964.65 = 2,303.70 : x
  2. Step 2: Convert to fraction form
    4,642.43/6,964.65 = 2,303.70/x
  3. Step 3: Cross multiply
    4,642.43x = 6,964.65 × 2,303.70
  4. Step 4: Simplify right side
    4,642.43x = 16,044,464.21
  5. Step 5: Solve for x
    x = 16,044,464.21/4,642.43
  6. Step 6: Final answer
    x = 3,456.05

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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.