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Finding the Fourth Proportional to 5,114.38, 7,056.03 and 3,347.02

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Solution

The fourth proportional to 5,114.38, 7,056.03 and 3,347.02 is: 4,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.38 : 7,056.03 = 3,347.02 : x
  2. Step 2: Convert to fraction form
    5,114.38/7,056.03 = 3,347.02/x
  3. Step 3: Cross multiply
    5,114.38x = 7,056.03 × 3,347.02
  4. Step 4: Simplify right side
    5,114.38x = 23,616,673.53
  5. Step 5: Solve for x
    x = 23,616,673.53/5,114.38
  6. Step 6: Final answer
    x = 4,617.70

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Why These Related Problems?

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