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Finding the Fourth Proportional to 3,671.76, 5,065.64 and 2,413.50

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Solution

The fourth proportional to 3,671.76, 5,065.64 and 2,413.50 is: 3,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.76 : 5,065.64 = 2,413.50 : x
  2. Step 2: Convert to fraction form
    3,671.76/5,065.64 = 2,413.50/x
  3. Step 3: Cross multiply
    3,671.76x = 5,065.64 × 2,413.50
  4. Step 4: Simplify right side
    3,671.76x = 12,225,900.13
  5. Step 5: Solve for x
    x = 12,225,900.13/3,671.76
  6. Step 6: Final answer
    x = 3,329.71

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1.5x scale

Why These Related Problems?

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