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Finding the Fourth Proportional to 4,492.50, 6,724.86 and 4,109.82

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Solution

The fourth proportional to 4,492.50, 6,724.86 and 4,109.82 is: 6,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.50 : 6,724.86 = 4,109.82 : x
  2. Step 2: Convert to fraction form
    4,492.50/6,724.86 = 4,109.82/x
  3. Step 3: Cross multiply
    4,492.50x = 6,724.86 × 4,109.82
  4. Step 4: Simplify right side
    4,492.50x = 27,637,964.13
  5. Step 5: Solve for x
    x = 27,637,964.13/4,492.50
  6. Step 6: Final answer
    x = 6,152.02

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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.