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Finding the Fourth Proportional to 4,312.48, 6,468.72 and 3,442.72

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Solution

The fourth proportional to 4,312.48, 6,468.72 and 3,442.72 is: 5,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.48 : 6,468.72 = 3,442.72 : x
  2. Step 2: Convert to fraction form
    4,312.48/6,468.72 = 3,442.72/x
  3. Step 3: Cross multiply
    4,312.48x = 6,468.72 × 3,442.72
  4. Step 4: Simplify right side
    4,312.48x = 22,269,991.72
  5. Step 5: Solve for x
    x = 22,269,991.72/4,312.48
  6. Step 6: Final answer
    x = 5,164.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.