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Finding the Fourth Proportional to 6,130.42, 8,457.80 and 4,007.17

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Solution

The fourth proportional to 6,130.42, 8,457.80 and 4,007.17 is: 5,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.42 : 8,457.80 = 4,007.17 : x
  2. Step 2: Convert to fraction form
    6,130.42/8,457.80 = 4,007.17/x
  3. Step 3: Cross multiply
    6,130.42x = 8,457.80 × 4,007.17
  4. Step 4: Simplify right side
    6,130.42x = 33,891,847.05
  5. Step 5: Solve for x
    x = 33,891,847.05/6,130.42
  6. Step 6: Final answer
    x = 5,528.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.