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Finding the Fourth Proportional to 5,047.56, 7,572.29 and 1,584

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Solution

The fourth proportional to 5,047.56, 7,572.29 and 1,584 is: 2,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.56 : 7,572.29 = 1,584 : x
  2. Step 2: Convert to fraction form
    5,047.56/7,572.29 = 1,584/x
  3. Step 3: Cross multiply
    5,047.56x = 7,572.29 × 1,584
  4. Step 4: Simplify right side
    5,047.56x = 11,994,499.44
  5. Step 5: Solve for x
    x = 11,994,499.44/5,047.56
  6. Step 6: Final answer
    x = 2,376.30

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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.