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Finding the Fourth Proportional to 2,887.47, 3,987.63 and 2,488.32

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Solution

The fourth proportional to 2,887.47, 3,987.63 and 2,488.32 is: 3,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.47 : 3,987.63 = 2,488.32 : x
  2. Step 2: Convert to fraction form
    2,887.47/3,987.63 = 2,488.32/x
  3. Step 3: Cross multiply
    2,887.47x = 3,987.63 × 2,488.32
  4. Step 4: Simplify right side
    2,887.47x = 9,922,499.48
  5. Step 5: Solve for x
    x = 9,922,499.48/2,887.47
  6. Step 6: Final answer
    x = 3,436.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.