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Finding the Fourth Proportional to 5,417.47, 8,128.03 and 2,297.35

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Solution

The fourth proportional to 5,417.47, 8,128.03 and 2,297.35 is: 3,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.47 : 8,128.03 = 2,297.35 : x
  2. Step 2: Convert to fraction form
    5,417.47/8,128.03 = 2,297.35/x
  3. Step 3: Cross multiply
    5,417.47x = 8,128.03 × 2,297.35
  4. Step 4: Simplify right side
    5,417.47x = 18,672,929.72
  5. Step 5: Solve for x
    x = 18,672,929.72/5,417.47
  6. Step 6: Final answer
    x = 3,446.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.