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Finding the Fourth Proportional to 4,237.81, 6,357.96 and 1,897.30

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Solution

The fourth proportional to 4,237.81, 6,357.96 and 1,897.30 is: 2,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.81 : 6,357.96 = 1,897.30 : x
  2. Step 2: Convert to fraction form
    4,237.81/6,357.96 = 1,897.30/x
  3. Step 3: Cross multiply
    4,237.81x = 6,357.96 × 1,897.30
  4. Step 4: Simplify right side
    4,237.81x = 12,062,925.72
  5. Step 5: Solve for x
    x = 12,062,925.72/4,237.81
  6. Step 6: Final answer
    x = 2,846.50

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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.