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Finding the Fourth Proportional to 3,573, 5,359.68 and 1,264.68

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Solution

The fourth proportional to 3,573, 5,359.68 and 1,264.68 is: 1,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573 : 5,359.68 = 1,264.68 : x
  2. Step 2: Convert to fraction form
    3,573/5,359.68 = 1,264.68/x
  3. Step 3: Cross multiply
    3,573x = 5,359.68 × 1,264.68
  4. Step 4: Simplify right side
    3,573x = 6,778,280.10
  5. Step 5: Solve for x
    x = 6,778,280.10/3,573
  6. Step 6: Final answer
    x = 1,897.08

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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.