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Finding the Fourth Proportional to 5,148.56, 7,102.80 and 3,051.56

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Solution

The fourth proportional to 5,148.56, 7,102.80 and 3,051.56 is: 4,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.56 : 7,102.80 = 3,051.56 : x
  2. Step 2: Convert to fraction form
    5,148.56/7,102.80 = 3,051.56/x
  3. Step 3: Cross multiply
    5,148.56x = 7,102.80 × 3,051.56
  4. Step 4: Simplify right side
    5,148.56x = 21,674,620.37
  5. Step 5: Solve for x
    x = 21,674,620.37/5,148.56
  6. Step 6: Final answer
    x = 4,209.84

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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.