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Finding the Fourth Proportional to 3,779.54, 5,669.13 and 1,146.93

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Solution

The fourth proportional to 3,779.54, 5,669.13 and 1,146.93 is: 1,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.54 : 5,669.13 = 1,146.93 : x
  2. Step 2: Convert to fraction form
    3,779.54/5,669.13 = 1,146.93/x
  3. Step 3: Cross multiply
    3,779.54x = 5,669.13 × 1,146.93
  4. Step 4: Simplify right side
    3,779.54x = 6,502,099.57
  5. Step 5: Solve for x
    x = 6,502,099.57/3,779.54
  6. Step 6: Final answer
    x = 1,720.34

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1.5x scale

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.