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Finding the Fourth Proportional to 5,368.64, 7,408.26 and 3,010.40

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Solution

The fourth proportional to 5,368.64, 7,408.26 and 3,010.40 is: 4,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.64 : 7,408.26 = 3,010.40 : x
  2. Step 2: Convert to fraction form
    5,368.64/7,408.26 = 3,010.40/x
  3. Step 3: Cross multiply
    5,368.64x = 7,408.26 × 3,010.40
  4. Step 4: Simplify right side
    5,368.64x = 22,301,825.90
  5. Step 5: Solve for x
    x = 22,301,825.90/5,368.64
  6. Step 6: Final answer
    x = 4,154.09

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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.