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Finding the Fourth Proportional to 3,713.84, 5,114.29 and 3,476.40

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Solution

The fourth proportional to 3,713.84, 5,114.29 and 3,476.40 is: 4,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.84 : 5,114.29 = 3,476.40 : x
  2. Step 2: Convert to fraction form
    3,713.84/5,114.29 = 3,476.40/x
  3. Step 3: Cross multiply
    3,713.84x = 5,114.29 × 3,476.40
  4. Step 4: Simplify right side
    3,713.84x = 17,779,318.84
  5. Step 5: Solve for x
    x = 17,779,318.84/3,713.84
  6. Step 6: Final answer
    x = 4,787.32

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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.