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Finding the Fourth Proportional to 4,742.50, 7,117.98 and 2,492.86

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Solution

The fourth proportional to 4,742.50, 7,117.98 and 2,492.86 is: 3,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.50 : 7,117.98 = 2,492.86 : x
  2. Step 2: Convert to fraction form
    4,742.50/7,117.98 = 2,492.86/x
  3. Step 3: Cross multiply
    4,742.50x = 7,117.98 × 2,492.86
  4. Step 4: Simplify right side
    4,742.50x = 17,744,127.62
  5. Step 5: Solve for x
    x = 17,744,127.62/4,742.50
  6. Step 6: Final answer
    x = 3,741.51

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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.