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Finding the Fourth Proportional to 4,703.76, 6,492.02 and 3,211.13

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Solution

The fourth proportional to 4,703.76, 6,492.02 and 3,211.13 is: 4,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.76 : 6,492.02 = 3,211.13 : x
  2. Step 2: Convert to fraction form
    4,703.76/6,492.02 = 3,211.13/x
  3. Step 3: Cross multiply
    4,703.76x = 6,492.02 × 3,211.13
  4. Step 4: Simplify right side
    4,703.76x = 20,846,720.36
  5. Step 5: Solve for x
    x = 20,846,720.36/4,703.76
  6. Step 6: Final answer
    x = 4,431.93

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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.