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Finding the Fourth Proportional to 5,929.76, 8,159.46 and 5,749.40

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Solution

The fourth proportional to 5,929.76, 8,159.46 and 5,749.40 is: 7,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.76 : 8,159.46 = 5,749.40 : x
  2. Step 2: Convert to fraction form
    5,929.76/8,159.46 = 5,749.40/x
  3. Step 3: Cross multiply
    5,929.76x = 8,159.46 × 5,749.40
  4. Step 4: Simplify right side
    5,929.76x = 46,911,999.32
  5. Step 5: Solve for x
    x = 46,911,999.32/5,929.76
  6. Step 6: Final answer
    x = 7,911.28

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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.