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Finding the Fourth Proportional to 4,701.89, 7,052.99 and 1,415.01

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Solution

The fourth proportional to 4,701.89, 7,052.99 and 1,415.01 is: 2,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.89 : 7,052.99 = 1,415.01 : x
  2. Step 2: Convert to fraction form
    4,701.89/7,052.99 = 1,415.01/x
  3. Step 3: Cross multiply
    4,701.89x = 7,052.99 × 1,415.01
  4. Step 4: Simplify right side
    4,701.89x = 9,980,044.30
  5. Step 5: Solve for x
    x = 9,980,044.30/4,701.89
  6. Step 6: Final answer
    x = 2,122.56

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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.