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Finding the Fourth Proportional to 4,689.27, 7,026.92 and 4,274.35

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Solution

The fourth proportional to 4,689.27, 7,026.92 and 4,274.35 is: 6,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.27 : 7,026.92 = 4,274.35 : x
  2. Step 2: Convert to fraction form
    4,689.27/7,026.92 = 4,274.35/x
  3. Step 3: Cross multiply
    4,689.27x = 7,026.92 × 4,274.35
  4. Step 4: Simplify right side
    4,689.27x = 30,035,492.59
  5. Step 5: Solve for x
    x = 30,035,492.59/4,689.27
  6. Step 6: Final answer
    x = 6,405.15

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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.