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Finding the Fourth Proportional to 4,564.16, 6,298.53 and 2,468.28

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Solution

The fourth proportional to 4,564.16, 6,298.53 and 2,468.28 is: 3,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.16 : 6,298.53 = 2,468.28 : x
  2. Step 2: Convert to fraction form
    4,564.16/6,298.53 = 2,468.28/x
  3. Step 3: Cross multiply
    4,564.16x = 6,298.53 × 2,468.28
  4. Step 4: Simplify right side
    4,564.16x = 15,546,535.63
  5. Step 5: Solve for x
    x = 15,546,535.63/4,564.16
  6. Step 6: Final answer
    x = 3,406.22

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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.