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Finding the Fourth Proportional to 4,492.88, 6,730.38 and 3,514.40

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Solution

The fourth proportional to 4,492.88, 6,730.38 and 3,514.40 is: 5,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.88 : 6,730.38 = 3,514.40 : x
  2. Step 2: Convert to fraction form
    4,492.88/6,730.38 = 3,514.40/x
  3. Step 3: Cross multiply
    4,492.88x = 6,730.38 × 3,514.40
  4. Step 4: Simplify right side
    4,492.88x = 23,653,247.47
  5. Step 5: Solve for x
    x = 23,653,247.47/4,492.88
  6. Step 6: Final answer
    x = 5,264.61

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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.