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Finding the Fourth Proportional to 4,415.77, 6,089.14 and 3,294.93

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Solution

The fourth proportional to 4,415.77, 6,089.14 and 3,294.93 is: 4,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.77 : 6,089.14 = 3,294.93 : x
  2. Step 2: Convert to fraction form
    4,415.77/6,089.14 = 3,294.93/x
  3. Step 3: Cross multiply
    4,415.77x = 6,089.14 × 3,294.93
  4. Step 4: Simplify right side
    4,415.77x = 20,063,290.06
  5. Step 5: Solve for x
    x = 20,063,290.06/4,415.77
  6. Step 6: Final answer
    x = 4,543.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.