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Finding the Fourth Proportional to 4,734.48, 7,101.72 and 1,810.38

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Solution

The fourth proportional to 4,734.48, 7,101.72 and 1,810.38 is: 2,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.48 : 7,101.72 = 1,810.38 : x
  2. Step 2: Convert to fraction form
    4,734.48/7,101.72 = 1,810.38/x
  3. Step 3: Cross multiply
    4,734.48x = 7,101.72 × 1,810.38
  4. Step 4: Simplify right side
    4,734.48x = 12,856,811.85
  5. Step 5: Solve for x
    x = 12,856,811.85/4,734.48
  6. Step 6: Final answer
    x = 2,715.57

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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.