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Finding the Fourth Proportional to 4,335.19, 6,502.88 and 1,413.48

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Solution

The fourth proportional to 4,335.19, 6,502.88 and 1,413.48 is: 2,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.19 : 6,502.88 = 1,413.48 : x
  2. Step 2: Convert to fraction form
    4,335.19/6,502.88 = 1,413.48/x
  3. Step 3: Cross multiply
    4,335.19x = 6,502.88 × 1,413.48
  4. Step 4: Simplify right side
    4,335.19x = 9,191,718.74
  5. Step 5: Solve for x
    x = 9,191,718.74/4,335.19
  6. Step 6: Final answer
    x = 2,120.26

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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.