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Finding the Fourth Proportional to 3,139.30, 4,707.78 and 947.32

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Solution

The fourth proportional to 3,139.30, 4,707.78 and 947.32 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.30 : 4,707.78 = 947.32 : x
  2. Step 2: Convert to fraction form
    3,139.30/4,707.78 = 947.32/x
  3. Step 3: Cross multiply
    3,139.30x = 4,707.78 × 947.32
  4. Step 4: Simplify right side
    3,139.30x = 4,459,774.15
  5. Step 5: Solve for x
    x = 4,459,774.15/3,139.30
  6. Step 6: Final answer
    x = 1,420.63

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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.