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Finding the Fourth Proportional to 5,607.66, 8,413.65 and 2,527.50

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Solution

The fourth proportional to 5,607.66, 8,413.65 and 2,527.50 is: 3,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.66 : 8,413.65 = 2,527.50 : x
  2. Step 2: Convert to fraction form
    5,607.66/8,413.65 = 2,527.50/x
  3. Step 3: Cross multiply
    5,607.66x = 8,413.65 × 2,527.50
  4. Step 4: Simplify right side
    5,607.66x = 21,265,500.38
  5. Step 5: Solve for x
    x = 21,265,500.38/5,607.66
  6. Step 6: Final answer
    x = 3,792.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.