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Finding the Fourth Proportional to 5,411.64, 7,468.05 and 2,927.64

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Solution

The fourth proportional to 5,411.64, 7,468.05 and 2,927.64 is: 4,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.64 : 7,468.05 = 2,927.64 : x
  2. Step 2: Convert to fraction form
    5,411.64/7,468.05 = 2,927.64/x
  3. Step 3: Cross multiply
    5,411.64x = 7,468.05 × 2,927.64
  4. Step 4: Simplify right side
    5,411.64x = 21,863,761.90
  5. Step 5: Solve for x
    x = 21,863,761.90/5,411.64
  6. Step 6: Final answer
    x = 4,040.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.