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Finding the Fourth Proportional to 3,130.43, 4,695.09 and 938.57

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Solution

The fourth proportional to 3,130.43, 4,695.09 and 938.57 is: 1,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.43 : 4,695.09 = 938.57 : x
  2. Step 2: Convert to fraction form
    3,130.43/4,695.09 = 938.57/x
  3. Step 3: Cross multiply
    3,130.43x = 4,695.09 × 938.57
  4. Step 4: Simplify right side
    3,130.43x = 4,406,643.63
  5. Step 5: Solve for x
    x = 4,406,643.63/3,130.43
  6. Step 6: Final answer
    x = 1,407.68

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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.