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Finding the Fourth Proportional to 3,564.90, 5,345.91 and 1,256.58

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Solution

The fourth proportional to 3,564.90, 5,345.91 and 1,256.58 is: 1,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.90 : 5,345.91 = 1,256.58 : x
  2. Step 2: Convert to fraction form
    3,564.90/5,345.91 = 1,256.58/x
  3. Step 3: Cross multiply
    3,564.90x = 5,345.91 × 1,256.58
  4. Step 4: Simplify right side
    3,564.90x = 6,717,563.59
  5. Step 5: Solve for x
    x = 6,717,563.59/3,564.90
  6. Step 6: Final answer
    x = 1,884.36

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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.