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Finding the Fourth Proportional to 4,925.43, 7,388.07 and 1,415.49

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Solution

The fourth proportional to 4,925.43, 7,388.07 and 1,415.49 is: 2,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.43 : 7,388.07 = 1,415.49 : x
  2. Step 2: Convert to fraction form
    4,925.43/7,388.07 = 1,415.49/x
  3. Step 3: Cross multiply
    4,925.43x = 7,388.07 × 1,415.49
  4. Step 4: Simplify right side
    4,925.43x = 10,457,739.20
  5. Step 5: Solve for x
    x = 10,457,739.20/4,925.43
  6. Step 6: Final answer
    x = 2,123.21

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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.