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Finding the Fourth Proportional to 3,415.03, 5,124.26 and 1,565.93

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Solution

The fourth proportional to 3,415.03, 5,124.26 and 1,565.93 is: 2,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.03 : 5,124.26 = 1,565.93 : x
  2. Step 2: Convert to fraction form
    3,415.03/5,124.26 = 1,565.93/x
  3. Step 3: Cross multiply
    3,415.03x = 5,124.26 × 1,565.93
  4. Step 4: Simplify right side
    3,415.03x = 8,024,249.19
  5. Step 5: Solve for x
    x = 8,024,249.19/3,415.03
  6. Step 6: Final answer
    x = 2,349.69

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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.