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Finding the Fourth Proportional to 5,700.54, 7,874.34 and 4,585.69

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Solution

The fourth proportional to 5,700.54, 7,874.34 and 4,585.69 is: 6,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.54 : 7,874.34 = 4,585.69 : x
  2. Step 2: Convert to fraction form
    5,700.54/7,874.34 = 4,585.69/x
  3. Step 3: Cross multiply
    5,700.54x = 7,874.34 × 4,585.69
  4. Step 4: Simplify right side
    5,700.54x = 36,109,242.82
  5. Step 5: Solve for x
    x = 36,109,242.82/5,700.54
  6. Step 6: Final answer
    x = 6,334.36

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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.