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Finding the Fourth Proportional to 5,779.68, 7,967.46 and 4,095.86

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Solution

The fourth proportional to 5,779.68, 7,967.46 and 4,095.86 is: 5,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.68 : 7,967.46 = 4,095.86 : x
  2. Step 2: Convert to fraction form
    5,779.68/7,967.46 = 4,095.86/x
  3. Step 3: Cross multiply
    5,779.68x = 7,967.46 × 4,095.86
  4. Step 4: Simplify right side
    5,779.68x = 32,633,600.72
  5. Step 5: Solve for x
    x = 32,633,600.72/5,779.68
  6. Step 6: Final answer
    x = 5,646.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.