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Finding the Fourth Proportional to 5,541.12, 7,637.76 and 5,230.08

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Solution

The fourth proportional to 5,541.12, 7,637.76 and 5,230.08 is: 7,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.12 : 7,637.76 = 5,230.08 : x
  2. Step 2: Convert to fraction form
    5,541.12/7,637.76 = 5,230.08/x
  3. Step 3: Cross multiply
    5,541.12x = 7,637.76 × 5,230.08
  4. Step 4: Simplify right side
    5,541.12x = 39,946,095.82
  5. Step 5: Solve for x
    x = 39,946,095.82/5,541.12
  6. Step 6: Final answer
    x = 7,209.03

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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.