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Finding the Fourth Proportional to 5,408.64, 7,467.54 and 5,036.58

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Solution

The fourth proportional to 5,408.64, 7,467.54 and 5,036.58 is: 6,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.64 : 7,467.54 = 5,036.58 : x
  2. Step 2: Convert to fraction form
    5,408.64/7,467.54 = 5,036.58/x
  3. Step 3: Cross multiply
    5,408.64x = 7,467.54 × 5,036.58
  4. Step 4: Simplify right side
    5,408.64x = 37,610,862.61
  5. Step 5: Solve for x
    x = 37,610,862.61/5,408.64
  6. Step 6: Final answer
    x = 6,953.85

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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.