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Finding the Fourth Proportional to 3,035.68, 4,557.47 and 1,575.86

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Solution

The fourth proportional to 3,035.68, 4,557.47 and 1,575.86 is: 2,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.68 : 4,557.47 = 1,575.86 : x
  2. Step 2: Convert to fraction form
    3,035.68/4,557.47 = 1,575.86/x
  3. Step 3: Cross multiply
    3,035.68x = 4,557.47 × 1,575.86
  4. Step 4: Simplify right side
    3,035.68x = 7,181,904.01
  5. Step 5: Solve for x
    x = 7,181,904.01/3,035.68
  6. Step 6: Final answer
    x = 2,365.83

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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.