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Finding the Fourth Proportional to 5,736.51, 7,911.14 and 3,746.34

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Solution

The fourth proportional to 5,736.51, 7,911.14 and 3,746.34 is: 5,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.51 : 7,911.14 = 3,746.34 : x
  2. Step 2: Convert to fraction form
    5,736.51/7,911.14 = 3,746.34/x
  3. Step 3: Cross multiply
    5,736.51x = 7,911.14 × 3,746.34
  4. Step 4: Simplify right side
    5,736.51x = 29,637,801.50
  5. Step 5: Solve for x
    x = 29,637,801.50/5,736.51
  6. Step 6: Final answer
    x = 5,166.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.