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Finding the Fourth Proportional to 6,492.30, 8,960.20 and 4,256.06

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Solution

The fourth proportional to 6,492.30, 8,960.20 and 4,256.06 is: 5,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.30 : 8,960.20 = 4,256.06 : x
  2. Step 2: Convert to fraction form
    6,492.30/8,960.20 = 4,256.06/x
  3. Step 3: Cross multiply
    6,492.30x = 8,960.20 × 4,256.06
  4. Step 4: Simplify right side
    6,492.30x = 38,135,148.81
  5. Step 5: Solve for x
    x = 38,135,148.81/6,492.30
  6. Step 6: Final answer
    x = 5,873.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.