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Finding the Fourth Proportional to 4,695.96, 7,042.32 and 1,774.08

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Solution

The fourth proportional to 4,695.96, 7,042.32 and 1,774.08 is: 2,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.96 : 7,042.32 = 1,774.08 : x
  2. Step 2: Convert to fraction form
    4,695.96/7,042.32 = 1,774.08/x
  3. Step 3: Cross multiply
    4,695.96x = 7,042.32 × 1,774.08
  4. Step 4: Simplify right side
    4,695.96x = 12,493,639.07
  5. Step 5: Solve for x
    x = 12,493,639.07/4,695.96
  6. Step 6: Final answer
    x = 2,660.51

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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.