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Finding the Fourth Proportional to 3,143.40, 4,707.90 and 3,071.40

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Solution

The fourth proportional to 3,143.40, 4,707.90 and 3,071.40 is: 4,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.40 : 4,707.90 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    3,143.40/4,707.90 = 3,071.40/x
  3. Step 3: Cross multiply
    3,143.40x = 4,707.90 × 3,071.40
  4. Step 4: Simplify right side
    3,143.40x = 14,459,844.06
  5. Step 5: Solve for x
    x = 14,459,844.06/3,143.40
  6. Step 6: Final answer
    x = 4,600.06

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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.