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Finding the Fourth Proportional to 3,141.90, 4,713.57 and 2,587.50

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Solution

The fourth proportional to 3,141.90, 4,713.57 and 2,587.50 is: 3,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.90 : 4,713.57 = 2,587.50 : x
  2. Step 2: Convert to fraction form
    3,141.90/4,713.57 = 2,587.50/x
  3. Step 3: Cross multiply
    3,141.90x = 4,713.57 × 2,587.50
  4. Step 4: Simplify right side
    3,141.90x = 12,196,362.38
  5. Step 5: Solve for x
    x = 12,196,362.38/3,141.90
  6. Step 6: Final answer
    x = 3,881.84

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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.