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Finding the Fourth Proportional to 5,787.36, 7,987.28 and 3,430.40

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Solution

The fourth proportional to 5,787.36, 7,987.28 and 3,430.40 is: 4,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.36 : 7,987.28 = 3,430.40 : x
  2. Step 2: Convert to fraction form
    5,787.36/7,987.28 = 3,430.40/x
  3. Step 3: Cross multiply
    5,787.36x = 7,987.28 × 3,430.40
  4. Step 4: Simplify right side
    5,787.36x = 27,399,565.31
  5. Step 5: Solve for x
    x = 27,399,565.31/5,787.36
  6. Step 6: Final answer
    x = 4,734.38

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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.