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Finding the Fourth Proportional to 5,024.64, 6,931.76 and 3,033.92

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Solution

The fourth proportional to 5,024.64, 6,931.76 and 3,033.92 is: 4,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.64 : 6,931.76 = 3,033.92 : x
  2. Step 2: Convert to fraction form
    5,024.64/6,931.76 = 3,033.92/x
  3. Step 3: Cross multiply
    5,024.64x = 6,931.76 × 3,033.92
  4. Step 4: Simplify right side
    5,024.64x = 21,030,405.30
  5. Step 5: Solve for x
    x = 21,030,405.30/5,024.64
  6. Step 6: Final answer
    x = 4,185.46

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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.