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Finding the Fourth Proportional to 5,047.55, 6,965.67 and 2,779.14

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Solution

The fourth proportional to 5,047.55, 6,965.67 and 2,779.14 is: 3,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.55 : 6,965.67 = 2,779.14 : x
  2. Step 2: Convert to fraction form
    5,047.55/6,965.67 = 2,779.14/x
  3. Step 3: Cross multiply
    5,047.55x = 6,965.67 × 2,779.14
  4. Step 4: Simplify right side
    5,047.55x = 19,358,558.23
  5. Step 5: Solve for x
    x = 19,358,558.23/5,047.55
  6. Step 6: Final answer
    x = 3,835.24

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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.