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Finding the Fourth Proportional to 2,996.47, 4,125.72 and 2,547.46

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Solution

The fourth proportional to 2,996.47, 4,125.72 and 2,547.46 is: 3,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.47 : 4,125.72 = 2,547.46 : x
  2. Step 2: Convert to fraction form
    2,996.47/4,125.72 = 2,547.46/x
  3. Step 3: Cross multiply
    2,996.47x = 4,125.72 × 2,547.46
  4. Step 4: Simplify right side
    2,996.47x = 10,510,116.22
  5. Step 5: Solve for x
    x = 10,510,116.22/2,996.47
  6. Step 6: Final answer
    x = 3,507.49

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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.