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Finding the Fourth Proportional to 4,957.40, 6,844.29 and 3,281.14

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Solution

The fourth proportional to 4,957.40, 6,844.29 and 3,281.14 is: 4,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.40 : 6,844.29 = 3,281.14 : x
  2. Step 2: Convert to fraction form
    4,957.40/6,844.29 = 3,281.14/x
  3. Step 3: Cross multiply
    4,957.40x = 6,844.29 × 3,281.14
  4. Step 4: Simplify right side
    4,957.40x = 22,457,073.69
  5. Step 5: Solve for x
    x = 22,457,073.69/4,957.40
  6. Step 6: Final answer
    x = 4,530.01

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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.