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Finding the Fourth Proportional to 4,572.56, 6,858.95 and 3,165.59

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Solution

The fourth proportional to 4,572.56, 6,858.95 and 3,165.59 is: 4,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.56 : 6,858.95 = 3,165.59 : x
  2. Step 2: Convert to fraction form
    4,572.56/6,858.95 = 3,165.59/x
  3. Step 3: Cross multiply
    4,572.56x = 6,858.95 × 3,165.59
  4. Step 4: Simplify right side
    4,572.56x = 21,712,624.85
  5. Step 5: Solve for x
    x = 21,712,624.85/4,572.56
  6. Step 6: Final answer
    x = 4,748.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.