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Finding the Fourth Proportional to 4,346.48, 6,534.84 and 3,486.80

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Solution

The fourth proportional to 4,346.48, 6,534.84 and 3,486.80 is: 5,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.48 : 6,534.84 = 3,486.80 : x
  2. Step 2: Convert to fraction form
    4,346.48/6,534.84 = 3,486.80/x
  3. Step 3: Cross multiply
    4,346.48x = 6,534.84 × 3,486.80
  4. Step 4: Simplify right side
    4,346.48x = 22,785,680.11
  5. Step 5: Solve for x
    x = 22,785,680.11/4,346.48
  6. Step 6: Final answer
    x = 5,242.33

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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.