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Finding the Fourth Proportional to 3,497.48, 5,243.80 and 1,547

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Solution

The fourth proportional to 3,497.48, 5,243.80 and 1,547 is: 2,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.48 : 5,243.80 = 1,547 : x
  2. Step 2: Convert to fraction form
    3,497.48/5,243.80 = 1,547/x
  3. Step 3: Cross multiply
    3,497.48x = 5,243.80 × 1,547
  4. Step 4: Simplify right side
    3,497.48x = 8,112,158.60
  5. Step 5: Solve for x
    x = 8,112,158.60/3,497.48
  6. Step 6: Final answer
    x = 2,319.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.