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Finding the Fourth Proportional to 5,033.68, 7,549.68 and 1,570

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Solution

The fourth proportional to 5,033.68, 7,549.68 and 1,570 is: 2,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.68 : 7,549.68 = 1,570 : x
  2. Step 2: Convert to fraction form
    5,033.68/7,549.68 = 1,570/x
  3. Step 3: Cross multiply
    5,033.68x = 7,549.68 × 1,570
  4. Step 4: Simplify right side
    5,033.68x = 11,852,997.60
  5. Step 5: Solve for x
    x = 11,852,997.60/5,033.68
  6. Step 6: Final answer
    x = 2,354.74

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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.