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Finding the Fourth Proportional to 4,691.16, 7,035.16 and 1,570.24

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Solution

The fourth proportional to 4,691.16, 7,035.16 and 1,570.24 is: 2,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.16 : 7,035.16 = 1,570.24 : x
  2. Step 2: Convert to fraction form
    4,691.16/7,035.16 = 1,570.24/x
  3. Step 3: Cross multiply
    4,691.16x = 7,035.16 × 1,570.24
  4. Step 4: Simplify right side
    4,691.16x = 11,046,889.64
  5. Step 5: Solve for x
    x = 11,046,889.64/4,691.16
  6. Step 6: Final answer
    x = 2,354.83

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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.