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Finding the Fourth Proportional to 4,335.51, 6,503.93 and 1,413.13

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Solution

The fourth proportional to 4,335.51, 6,503.93 and 1,413.13 is: 2,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.51 : 6,503.93 = 1,413.13 : x
  2. Step 2: Convert to fraction form
    4,335.51/6,503.93 = 1,413.13/x
  3. Step 3: Cross multiply
    4,335.51x = 6,503.93 × 1,413.13
  4. Step 4: Simplify right side
    4,335.51x = 9,190,898.60
  5. Step 5: Solve for x
    x = 9,190,898.60/4,335.51
  6. Step 6: Final answer
    x = 2,119.91

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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.