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Finding the Fourth Proportional to 4,566.15, 6,298.05 and 4,413.75

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Solution

The fourth proportional to 4,566.15, 6,298.05 and 4,413.75 is: 6,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.15 : 6,298.05 = 4,413.75 : x
  2. Step 2: Convert to fraction form
    4,566.15/6,298.05 = 4,413.75/x
  3. Step 3: Cross multiply
    4,566.15x = 6,298.05 × 4,413.75
  4. Step 4: Simplify right side
    4,566.15x = 27,798,018.19
  5. Step 5: Solve for x
    x = 27,798,018.19/4,566.15
  6. Step 6: Final answer
    x = 6,087.85

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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.