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Finding the Fourth Proportional to 5,707.88, 8,542.35 and 4,784.48

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Solution

The fourth proportional to 5,707.88, 8,542.35 and 4,784.48 is: 7,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.88 : 8,542.35 = 4,784.48 : x
  2. Step 2: Convert to fraction form
    5,707.88/8,542.35 = 4,784.48/x
  3. Step 3: Cross multiply
    5,707.88x = 8,542.35 × 4,784.48
  4. Step 4: Simplify right side
    5,707.88x = 40,870,702.73
  5. Step 5: Solve for x
    x = 40,870,702.73/5,707.88
  6. Step 6: Final answer
    x = 7,160.40

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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.