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Finding the Fourth Proportional to 4,858.88, 7,288.48 and 1,572

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Solution

The fourth proportional to 4,858.88, 7,288.48 and 1,572 is: 2,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.88 : 7,288.48 = 1,572 : x
  2. Step 2: Convert to fraction form
    4,858.88/7,288.48 = 1,572/x
  3. Step 3: Cross multiply
    4,858.88x = 7,288.48 × 1,572
  4. Step 4: Simplify right side
    4,858.88x = 11,457,490.56
  5. Step 5: Solve for x
    x = 11,457,490.56/4,858.88
  6. Step 6: Final answer
    x = 2,358.05

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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.