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Finding the Fourth Proportional to 3,701.60, 5,554.59 and 1,363.25

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Solution

The fourth proportional to 3,701.60, 5,554.59 and 1,363.25 is: 2,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.60 : 5,554.59 = 1,363.25 : x
  2. Step 2: Convert to fraction form
    3,701.60/5,554.59 = 1,363.25/x
  3. Step 3: Cross multiply
    3,701.60x = 5,554.59 × 1,363.25
  4. Step 4: Simplify right side
    3,701.60x = 7,572,294.82
  5. Step 5: Solve for x
    x = 7,572,294.82/3,701.60
  6. Step 6: Final answer
    x = 2,045.68

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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.