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Finding the Fourth Proportional to 4,703.85, 6,487.16 and 2,911.04

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Solution

The fourth proportional to 4,703.85, 6,487.16 and 2,911.04 is: 4,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.85 : 6,487.16 = 2,911.04 : x
  2. Step 2: Convert to fraction form
    4,703.85/6,487.16 = 2,911.04/x
  3. Step 3: Cross multiply
    4,703.85x = 6,487.16 × 2,911.04
  4. Step 4: Simplify right side
    4,703.85x = 18,884,382.25
  5. Step 5: Solve for x
    x = 18,884,382.25/4,703.85
  6. Step 6: Final answer
    x = 4,014.67

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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.