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Finding the Fourth Proportional to 4,533.84, 6,257.52 and 3,413.07

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Solution

The fourth proportional to 4,533.84, 6,257.52 and 3,413.07 is: 4,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.84 : 6,257.52 = 3,413.07 : x
  2. Step 2: Convert to fraction form
    4,533.84/6,257.52 = 3,413.07/x
  3. Step 3: Cross multiply
    4,533.84x = 6,257.52 × 3,413.07
  4. Step 4: Simplify right side
    4,533.84x = 21,357,353.79
  5. Step 5: Solve for x
    x = 21,357,353.79/4,533.84
  6. Step 6: Final answer
    x = 4,710.65

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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.