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Finding the Fourth Proportional to 5,405.32, 7,459.86 and 3,415.96

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Solution

The fourth proportional to 5,405.32, 7,459.86 and 3,415.96 is: 4,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.32 : 7,459.86 = 3,415.96 : x
  2. Step 2: Convert to fraction form
    5,405.32/7,459.86 = 3,415.96/x
  3. Step 3: Cross multiply
    5,405.32x = 7,459.86 × 3,415.96
  4. Step 4: Simplify right side
    5,405.32x = 25,482,583.37
  5. Step 5: Solve for x
    x = 25,482,583.37/5,405.32
  6. Step 6: Final answer
    x = 4,714.35

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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.