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Finding the Fourth Proportional to 4,807.89, 7,211.88 and 1,886.49

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Solution

The fourth proportional to 4,807.89, 7,211.88 and 1,886.49 is: 2,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.89 : 7,211.88 = 1,886.49 : x
  2. Step 2: Convert to fraction form
    4,807.89/7,211.88 = 1,886.49/x
  3. Step 3: Cross multiply
    4,807.89x = 7,211.88 × 1,886.49
  4. Step 4: Simplify right side
    4,807.89x = 13,605,139.50
  5. Step 5: Solve for x
    x = 13,605,139.50/4,807.89
  6. Step 6: Final answer
    x = 2,829.75

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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.