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Finding the Fourth Proportional to 4,720.42, 6,514.41 and 2,624.50

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Solution

The fourth proportional to 4,720.42, 6,514.41 and 2,624.50 is: 3,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.42 : 6,514.41 = 2,624.50 : x
  2. Step 2: Convert to fraction form
    4,720.42/6,514.41 = 2,624.50/x
  3. Step 3: Cross multiply
    4,720.42x = 6,514.41 × 2,624.50
  4. Step 4: Simplify right side
    4,720.42x = 17,097,069.05
  5. Step 5: Solve for x
    x = 17,097,069.05/4,720.42
  6. Step 6: Final answer
    x = 3,621.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.