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Finding the Fourth Proportional to 4,832.80, 7,248.08 and 2,365.14

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Solution

The fourth proportional to 4,832.80, 7,248.08 and 2,365.14 is: 3,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.80 : 7,248.08 = 2,365.14 : x
  2. Step 2: Convert to fraction form
    4,832.80/7,248.08 = 2,365.14/x
  3. Step 3: Cross multiply
    4,832.80x = 7,248.08 × 2,365.14
  4. Step 4: Simplify right side
    4,832.80x = 17,142,723.93
  5. Step 5: Solve for x
    x = 17,142,723.93/4,832.80
  6. Step 6: Final answer
    x = 3,547.16

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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.