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Finding the Fourth Proportional to 4,062.54, 6,091.34 and 1,594.40

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Solution

The fourth proportional to 4,062.54, 6,091.34 and 1,594.40 is: 2,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.54 : 6,091.34 = 1,594.40 : x
  2. Step 2: Convert to fraction form
    4,062.54/6,091.34 = 1,594.40/x
  3. Step 3: Cross multiply
    4,062.54x = 6,091.34 × 1,594.40
  4. Step 4: Simplify right side
    4,062.54x = 9,712,032.50
  5. Step 5: Solve for x
    x = 9,712,032.50/4,062.54
  6. Step 6: Final answer
    x = 2,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.