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Finding the Fourth Proportional to 3,720.90, 5,585.00 and 1,774.47

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Solution

The fourth proportional to 3,720.90, 5,585.00 and 1,774.47 is: 2,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.90 : 5,585.00 = 1,774.47 : x
  2. Step 2: Convert to fraction form
    3,720.90/5,585.00 = 1,774.47/x
  3. Step 3: Cross multiply
    3,720.90x = 5,585.00 × 1,774.47
  4. Step 4: Simplify right side
    3,720.90x = 9,910,437.00
  5. Step 5: Solve for x
    x = 9,910,437.00/3,720.90
  6. Step 6: Final answer
    x = 2,663.45

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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.