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Finding the Fourth Proportional to 5,503.44, 8,256.54 and 1,607.82

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Solution

The fourth proportional to 5,503.44, 8,256.54 and 1,607.82 is: 2,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.44 : 8,256.54 = 1,607.82 : x
  2. Step 2: Convert to fraction form
    5,503.44/8,256.54 = 1,607.82/x
  3. Step 3: Cross multiply
    5,503.44x = 8,256.54 × 1,607.82
  4. Step 4: Simplify right side
    5,503.44x = 13,275,030.14
  5. Step 5: Solve for x
    x = 13,275,030.14/5,503.44
  6. Step 6: Final answer
    x = 2,412.13

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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.