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Finding the Fourth Proportional to 4,723.64, 7,079.90 and 1,948.94

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Solution

The fourth proportional to 4,723.64, 7,079.90 and 1,948.94 is: 2,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.64 : 7,079.90 = 1,948.94 : x
  2. Step 2: Convert to fraction form
    4,723.64/7,079.90 = 1,948.94/x
  3. Step 3: Cross multiply
    4,723.64x = 7,079.90 × 1,948.94
  4. Step 4: Simplify right side
    4,723.64x = 13,798,300.31
  5. Step 5: Solve for x
    x = 13,798,300.31/4,723.64
  6. Step 6: Final answer
    x = 2,921.12

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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.