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Finding the Fourth Proportional to 4,556.40, 6,287.40 and 2,566.50

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Solution

The fourth proportional to 4,556.40, 6,287.40 and 2,566.50 is: 3,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.40 : 6,287.40 = 2,566.50 : x
  2. Step 2: Convert to fraction form
    4,556.40/6,287.40 = 2,566.50/x
  3. Step 3: Cross multiply
    4,556.40x = 6,287.40 × 2,566.50
  4. Step 4: Simplify right side
    4,556.40x = 16,136,612.10
  5. Step 5: Solve for x
    x = 16,136,612.10/4,556.40
  6. Step 6: Final answer
    x = 3,541.53

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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.