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Finding the Fourth Proportional to 4,646.77, 6,415.55 and 2,880.25

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Solution

The fourth proportional to 4,646.77, 6,415.55 and 2,880.25 is: 3,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.77 : 6,415.55 = 2,880.25 : x
  2. Step 2: Convert to fraction form
    4,646.77/6,415.55 = 2,880.25/x
  3. Step 3: Cross multiply
    4,646.77x = 6,415.55 × 2,880.25
  4. Step 4: Simplify right side
    4,646.77x = 18,478,387.89
  5. Step 5: Solve for x
    x = 18,478,387.89/4,646.77
  6. Step 6: Final answer
    x = 3,976.61

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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.