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Finding the Fourth Proportional to 3,874.64, 5,810.13 and 2,026.62

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Solution

The fourth proportional to 3,874.64, 5,810.13 and 2,026.62 is: 3,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.64 : 5,810.13 = 2,026.62 : x
  2. Step 2: Convert to fraction form
    3,874.64/5,810.13 = 2,026.62/x
  3. Step 3: Cross multiply
    3,874.64x = 5,810.13 × 2,026.62
  4. Step 4: Simplify right side
    3,874.64x = 11,774,925.66
  5. Step 5: Solve for x
    x = 11,774,925.66/3,874.64
  6. Step 6: Final answer
    x = 3,038.98

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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.