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Finding the Fourth Proportional to 4,465.72, 6,697.77 and 1,543.51

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Solution

The fourth proportional to 4,465.72, 6,697.77 and 1,543.51 is: 2,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.72 : 6,697.77 = 1,543.51 : x
  2. Step 2: Convert to fraction form
    4,465.72/6,697.77 = 1,543.51/x
  3. Step 3: Cross multiply
    4,465.72x = 6,697.77 × 1,543.51
  4. Step 4: Simplify right side
    4,465.72x = 10,338,074.97
  5. Step 5: Solve for x
    x = 10,338,074.97/4,465.72
  6. Step 6: Final answer
    x = 2,314.99

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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.