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Finding the Fourth Proportional to 5,047.19, 7,570.79 and 1,537.19

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Solution

The fourth proportional to 5,047.19, 7,570.79 and 1,537.19 is: 2,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.19 : 7,570.79 = 1,537.19 : x
  2. Step 2: Convert to fraction form
    5,047.19/7,570.79 = 1,537.19/x
  3. Step 3: Cross multiply
    5,047.19x = 7,570.79 × 1,537.19
  4. Step 4: Simplify right side
    5,047.19x = 11,637,697.14
  5. Step 5: Solve for x
    x = 11,637,697.14/5,047.19
  6. Step 6: Final answer
    x = 2,305.78

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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.