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Finding the Fourth Proportional to 5,709.54, 8,570.16 and 3,076.95

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Solution

The fourth proportional to 5,709.54, 8,570.16 and 3,076.95 is: 4,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.54 : 8,570.16 = 3,076.95 : x
  2. Step 2: Convert to fraction form
    5,709.54/8,570.16 = 3,076.95/x
  3. Step 3: Cross multiply
    5,709.54x = 8,570.16 × 3,076.95
  4. Step 4: Simplify right side
    5,709.54x = 26,369,953.81
  5. Step 5: Solve for x
    x = 26,369,953.81/5,709.54
  6. Step 6: Final answer
    x = 4,618.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.