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Finding the Fourth Proportional to 4,178.03, 5,752.56 and 3,547.24

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Solution

The fourth proportional to 4,178.03, 5,752.56 and 3,547.24 is: 4,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.03 : 5,752.56 = 3,547.24 : x
  2. Step 2: Convert to fraction form
    4,178.03/5,752.56 = 3,547.24/x
  3. Step 3: Cross multiply
    4,178.03x = 5,752.56 × 3,547.24
  4. Step 4: Simplify right side
    4,178.03x = 20,405,710.93
  5. Step 5: Solve for x
    x = 20,405,710.93/4,178.03
  6. Step 6: Final answer
    x = 4,884.05

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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.