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Finding the Fourth Proportional to 4,953.31, 7,415.58 and 4,264.40

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Solution

The fourth proportional to 4,953.31, 7,415.58 and 4,264.40 is: 6,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.31 : 7,415.58 = 4,264.40 : x
  2. Step 2: Convert to fraction form
    4,953.31/7,415.58 = 4,264.40/x
  3. Step 3: Cross multiply
    4,953.31x = 7,415.58 × 4,264.40
  4. Step 4: Simplify right side
    4,953.31x = 31,623,033.88
  5. Step 5: Solve for x
    x = 31,623,033.88/4,953.31
  6. Step 6: Final answer
    x = 6,384.23

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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.