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Finding the Fourth Proportional to 4,653.86, 6,978.96 and 1,730.57

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Solution

The fourth proportional to 4,653.86, 6,978.96 and 1,730.57 is: 2,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.86 : 6,978.96 = 1,730.57 : x
  2. Step 2: Convert to fraction form
    4,653.86/6,978.96 = 1,730.57/x
  3. Step 3: Cross multiply
    4,653.86x = 6,978.96 × 1,730.57
  4. Step 4: Simplify right side
    4,653.86x = 12,077,543.91
  5. Step 5: Solve for x
    x = 12,077,543.91/4,653.86
  6. Step 6: Final answer
    x = 2,595.17

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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.