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Finding the Fourth Proportional to 3,899.76, 5,850 and 1,303.08

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Solution

The fourth proportional to 3,899.76, 5,850 and 1,303.08 is: 1,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.76 : 5,850 = 1,303.08 : x
  2. Step 2: Convert to fraction form
    3,899.76/5,850 = 1,303.08/x
  3. Step 3: Cross multiply
    3,899.76x = 5,850 × 1,303.08
  4. Step 4: Simplify right side
    3,899.76x = 7,623,018
  5. Step 5: Solve for x
    x = 7,623,018/3,899.76
  6. Step 6: Final answer
    x = 1,954.74

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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.