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Finding the Fourth Proportional to 3,903.48, 5,852.48 and 1,437.98

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Solution

The fourth proportional to 3,903.48, 5,852.48 and 1,437.98 is: 2,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.48 : 5,852.48 = 1,437.98 : x
  2. Step 2: Convert to fraction form
    3,903.48/5,852.48 = 1,437.98/x
  3. Step 3: Cross multiply
    3,903.48x = 5,852.48 × 1,437.98
  4. Step 4: Simplify right side
    3,903.48x = 8,415,749.19
  5. Step 5: Solve for x
    x = 8,415,749.19/3,903.48
  6. Step 6: Final answer
    x = 2,155.96

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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.