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Finding the Fourth Proportional to 5,343.68, 8,004.64 and 4,360

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Solution

The fourth proportional to 5,343.68, 8,004.64 and 4,360 is: 6,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.68 : 8,004.64 = 4,360 : x
  2. Step 2: Convert to fraction form
    5,343.68/8,004.64 = 4,360/x
  3. Step 3: Cross multiply
    5,343.68x = 8,004.64 × 4,360
  4. Step 4: Simplify right side
    5,343.68x = 34,900,230.40
  5. Step 5: Solve for x
    x = 34,900,230.40/5,343.68
  6. Step 6: Final answer
    x = 6,531.12

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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.