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Finding the Fourth Proportional to 5,200.52, 7,785.41 and 3,346.16

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Solution

The fourth proportional to 5,200.52, 7,785.41 and 3,346.16 is: 5,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.52 : 7,785.41 = 3,346.16 : x
  2. Step 2: Convert to fraction form
    5,200.52/7,785.41 = 3,346.16/x
  3. Step 3: Cross multiply
    5,200.52x = 7,785.41 × 3,346.16
  4. Step 4: Simplify right side
    5,200.52x = 26,051,210.79
  5. Step 5: Solve for x
    x = 26,051,210.79/5,200.52
  6. Step 6: Final answer
    x = 5,009.35

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