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Finding the Fourth Proportional to 4,614.68, 6,368.50 and 3,041.64

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Solution

The fourth proportional to 4,614.68, 6,368.50 and 3,041.64 is: 4,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.68 : 6,368.50 = 3,041.64 : x
  2. Step 2: Convert to fraction form
    4,614.68/6,368.50 = 3,041.64/x
  3. Step 3: Cross multiply
    4,614.68x = 6,368.50 × 3,041.64
  4. Step 4: Simplify right side
    4,614.68x = 19,370,684.34
  5. Step 5: Solve for x
    x = 19,370,684.34/4,614.68
  6. Step 6: Final answer
    x = 4,197.62

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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.