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Finding the Fourth Proportional to 3,853, 5,779.74 and 1,117

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Solution

The fourth proportional to 3,853, 5,779.74 and 1,117 is: 1,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853 : 5,779.74 = 1,117 : x
  2. Step 2: Convert to fraction form
    3,853/5,779.74 = 1,117/x
  3. Step 3: Cross multiply
    3,853x = 5,779.74 × 1,117
  4. Step 4: Simplify right side
    3,853x = 6,455,969.58
  5. Step 5: Solve for x
    x = 6,455,969.58/3,853
  6. Step 6: Final answer
    x = 1,675.57

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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.