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Finding the Fourth Proportional to 4,737.99, 7,106.72 and 1,451.08

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Solution

The fourth proportional to 4,737.99, 7,106.72 and 1,451.08 is: 2,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.99 : 7,106.72 = 1,451.08 : x
  2. Step 2: Convert to fraction form
    4,737.99/7,106.72 = 1,451.08/x
  3. Step 3: Cross multiply
    4,737.99x = 7,106.72 × 1,451.08
  4. Step 4: Simplify right side
    4,737.99x = 10,312,419.26
  5. Step 5: Solve for x
    x = 10,312,419.26/4,737.99
  6. Step 6: Final answer
    x = 2,176.54

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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.