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Finding the Fourth Proportional to 3,027.16, 4,540.65 and 947.35

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Solution

The fourth proportional to 3,027.16, 4,540.65 and 947.35 is: 1,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.16 : 4,540.65 = 947.35 : x
  2. Step 2: Convert to fraction form
    3,027.16/4,540.65 = 947.35/x
  3. Step 3: Cross multiply
    3,027.16x = 4,540.65 × 947.35
  4. Step 4: Simplify right side
    3,027.16x = 4,301,584.78
  5. Step 5: Solve for x
    x = 4,301,584.78/3,027.16
  6. Step 6: Final answer
    x = 1,421.00

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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.