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Finding the Fourth Proportional to 5,785.34, 8,695.02 and 4,804.46

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Solution

The fourth proportional to 5,785.34, 8,695.02 and 4,804.46 is: 7,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.34 : 8,695.02 = 4,804.46 : x
  2. Step 2: Convert to fraction form
    5,785.34/8,695.02 = 4,804.46/x
  3. Step 3: Cross multiply
    5,785.34x = 8,695.02 × 4,804.46
  4. Step 4: Simplify right side
    5,785.34x = 41,774,832.31
  5. Step 5: Solve for x
    x = 41,774,832.31/5,785.34
  6. Step 6: Final answer
    x = 7,220.81

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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.