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Finding the Fourth Proportional to 5,346.16, 7,374.04 and 3,485.68

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Solution

The fourth proportional to 5,346.16, 7,374.04 and 3,485.68 is: 4,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.16 : 7,374.04 = 3,485.68 : x
  2. Step 2: Convert to fraction form
    5,346.16/7,374.04 = 3,485.68/x
  3. Step 3: Cross multiply
    5,346.16x = 7,374.04 × 3,485.68
  4. Step 4: Simplify right side
    5,346.16x = 25,703,543.75
  5. Step 5: Solve for x
    x = 25,703,543.75/5,346.16
  6. Step 6: Final answer
    x = 4,807.85

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