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Finding the Fourth Proportional to 4,648.65, 6,413.46 and 3,056.16

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Solution

The fourth proportional to 4,648.65, 6,413.46 and 3,056.16 is: 4,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.65 : 6,413.46 = 3,056.16 : x
  2. Step 2: Convert to fraction form
    4,648.65/6,413.46 = 3,056.16/x
  3. Step 3: Cross multiply
    4,648.65x = 6,413.46 × 3,056.16
  4. Step 4: Simplify right side
    4,648.65x = 19,600,572.50
  5. Step 5: Solve for x
    x = 19,600,572.50/4,648.65
  6. Step 6: Final answer
    x = 4,216.40

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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.