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Finding the Fourth Proportional to 3,888.70, 5,830.91 and 2,657.50

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Solution

The fourth proportional to 3,888.70, 5,830.91 and 2,657.50 is: 3,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.70 : 5,830.91 = 2,657.50 : x
  2. Step 2: Convert to fraction form
    3,888.70/5,830.91 = 2,657.50/x
  3. Step 3: Cross multiply
    3,888.70x = 5,830.91 × 2,657.50
  4. Step 4: Simplify right side
    3,888.70x = 15,495,643.33
  5. Step 5: Solve for x
    x = 15,495,643.33/3,888.70
  6. Step 6: Final answer
    x = 3,984.79

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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.