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Finding the Fourth Proportional to 6,005.60, 8,285.34 and 4,013.00

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Solution

The fourth proportional to 6,005.60, 8,285.34 and 4,013.00 is: 5,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.60 : 8,285.34 = 4,013.00 : x
  2. Step 2: Convert to fraction form
    6,005.60/8,285.34 = 4,013.00/x
  3. Step 3: Cross multiply
    6,005.60x = 8,285.34 × 4,013.00
  4. Step 4: Simplify right side
    6,005.60x = 33,249,007.93
  5. Step 5: Solve for x
    x = 33,249,007.93/6,005.60
  6. Step 6: Final answer
    x = 5,536.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.