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Finding the Fourth Proportional to 4,875.90, 7,313.31 and 1,413.15

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Solution

The fourth proportional to 4,875.90, 7,313.31 and 1,413.15 is: 2,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.90 : 7,313.31 = 1,413.15 : x
  2. Step 2: Convert to fraction form
    4,875.90/7,313.31 = 1,413.15/x
  3. Step 3: Cross multiply
    4,875.90x = 7,313.31 × 1,413.15
  4. Step 4: Simplify right side
    4,875.90x = 10,334,804.03
  5. Step 5: Solve for x
    x = 10,334,804.03/4,875.90
  6. Step 6: Final answer
    x = 2,119.57

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