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Finding the Fourth Proportional to 4,356.71, 6,012.28 and 2,564.26

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Solution

The fourth proportional to 4,356.71, 6,012.28 and 2,564.26 is: 3,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.71 : 6,012.28 = 2,564.26 : x
  2. Step 2: Convert to fraction form
    4,356.71/6,012.28 = 2,564.26/x
  3. Step 3: Cross multiply
    4,356.71x = 6,012.28 × 2,564.26
  4. Step 4: Simplify right side
    4,356.71x = 15,417,019.05
  5. Step 5: Solve for x
    x = 15,417,019.05/4,356.71
  6. Step 6: Final answer
    x = 3,538.68

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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.