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Finding the Fourth Proportional to 3,890.64, 5,835.10 and 1,116.69

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Solution

The fourth proportional to 3,890.64, 5,835.10 and 1,116.69 is: 1,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.64 : 5,835.10 = 1,116.69 : x
  2. Step 2: Convert to fraction form
    3,890.64/5,835.10 = 1,116.69/x
  3. Step 3: Cross multiply
    3,890.64x = 5,835.10 × 1,116.69
  4. Step 4: Simplify right side
    3,890.64x = 6,516,026.50
  5. Step 5: Solve for x
    x = 6,516,026.50/3,890.64
  6. Step 6: Final answer
    x = 1,674.80

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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.