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Finding the Fourth Proportional to 3,138.59, 4,707.66 and 947.33

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Solution

The fourth proportional to 3,138.59, 4,707.66 and 947.33 is: 1,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.59 : 4,707.66 = 947.33 : x
  2. Step 2: Convert to fraction form
    3,138.59/4,707.66 = 947.33/x
  3. Step 3: Cross multiply
    3,138.59x = 4,707.66 × 947.33
  4. Step 4: Simplify right side
    3,138.59x = 4,459,684.01
  5. Step 5: Solve for x
    x = 4,459,684.01/3,138.59
  6. Step 6: Final answer
    x = 1,420.92

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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.