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Finding the Fourth Proportional to 5,746.42, 7,929.54 and 3,228.52

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Solution

The fourth proportional to 5,746.42, 7,929.54 and 3,228.52 is: 4,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.42 : 7,929.54 = 3,228.52 : x
  2. Step 2: Convert to fraction form
    5,746.42/7,929.54 = 3,228.52/x
  3. Step 3: Cross multiply
    5,746.42x = 7,929.54 × 3,228.52
  4. Step 4: Simplify right side
    5,746.42x = 25,600,678.48
  5. Step 5: Solve for x
    x = 25,600,678.48/5,746.42
  6. Step 6: Final answer
    x = 4,455.07

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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.