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Finding the Fourth Proportional to 5,707.38, 8,541.60 and 4,783.98

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Solution

The fourth proportional to 5,707.38, 8,541.60 and 4,783.98 is: 7,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.38 : 8,541.60 = 4,783.98 : x
  2. Step 2: Convert to fraction form
    5,707.38/8,541.60 = 4,783.98/x
  3. Step 3: Cross multiply
    5,707.38x = 8,541.60 × 4,783.98
  4. Step 4: Simplify right side
    5,707.38x = 40,862,843.57
  5. Step 5: Solve for x
    x = 40,862,843.57/5,707.38
  6. Step 6: Final answer
    x = 7,159.65

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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.