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Finding the Fourth Proportional to 5,173.32, 7,777.08 and 4,206.18

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Solution

The fourth proportional to 5,173.32, 7,777.08 and 4,206.18 is: 6,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.32 : 7,777.08 = 4,206.18 : x
  2. Step 2: Convert to fraction form
    5,173.32/7,777.08 = 4,206.18/x
  3. Step 3: Cross multiply
    5,173.32x = 7,777.08 × 4,206.18
  4. Step 4: Simplify right side
    5,173.32x = 32,711,798.35
  5. Step 5: Solve for x
    x = 32,711,798.35/5,173.32
  6. Step 6: Final answer
    x = 6,323.17

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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.