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Finding the Fourth Proportional to 4,242.65, 5,855.46 and 2,564.30

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Solution

The fourth proportional to 4,242.65, 5,855.46 and 2,564.30 is: 3,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.65 : 5,855.46 = 2,564.30 : x
  2. Step 2: Convert to fraction form
    4,242.65/5,855.46 = 2,564.30/x
  3. Step 3: Cross multiply
    4,242.65x = 5,855.46 × 2,564.30
  4. Step 4: Simplify right side
    4,242.65x = 15,015,156.08
  5. Step 5: Solve for x
    x = 15,015,156.08/4,242.65
  6. Step 6: Final answer
    x = 3,539.10

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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.