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Finding the Fourth Proportional to 5,151.40, 7,710.90 and 3,693.40

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Solution

The fourth proportional to 5,151.40, 7,710.90 and 3,693.40 is: 5,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.40 : 7,710.90 = 3,693.40 : x
  2. Step 2: Convert to fraction form
    5,151.40/7,710.90 = 3,693.40/x
  3. Step 3: Cross multiply
    5,151.40x = 7,710.90 × 3,693.40
  4. Step 4: Simplify right side
    5,151.40x = 28,479,438.06
  5. Step 5: Solve for x
    x = 28,479,438.06/5,151.40
  6. Step 6: Final answer
    x = 5,528.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.