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Finding the Fourth Proportional to 5,116.50, 7,670.18 and 1,829.10

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Solution

The fourth proportional to 5,116.50, 7,670.18 and 1,829.10 is: 2,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.50 : 7,670.18 = 1,829.10 : x
  2. Step 2: Convert to fraction form
    5,116.50/7,670.18 = 1,829.10/x
  3. Step 3: Cross multiply
    5,116.50x = 7,670.18 × 1,829.10
  4. Step 4: Simplify right side
    5,116.50x = 14,029,526.24
  5. Step 5: Solve for x
    x = 14,029,526.24/5,116.50
  6. Step 6: Final answer
    x = 2,742.02

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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.