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Finding the Fourth Proportional to 4,770.96, 7,152 and 1,848.64

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Solution

The fourth proportional to 4,770.96, 7,152 and 1,848.64 is: 2,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.96 : 7,152 = 1,848.64 : x
  2. Step 2: Convert to fraction form
    4,770.96/7,152 = 1,848.64/x
  3. Step 3: Cross multiply
    4,770.96x = 7,152 × 1,848.64
  4. Step 4: Simplify right side
    4,770.96x = 13,221,473.28
  5. Step 5: Solve for x
    x = 13,221,473.28/4,770.96
  6. Step 6: Final answer
    x = 2,771.24

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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.