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Finding the Fourth Proportional to 3,574.88, 5,366.16 and 3,029.60

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Solution

The fourth proportional to 3,574.88, 5,366.16 and 3,029.60 is: 4,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.88 : 5,366.16 = 3,029.60 : x
  2. Step 2: Convert to fraction form
    3,574.88/5,366.16 = 3,029.60/x
  3. Step 3: Cross multiply
    3,574.88x = 5,366.16 × 3,029.60
  4. Step 4: Simplify right side
    3,574.88x = 16,257,318.34
  5. Step 5: Solve for x
    x = 16,257,318.34/3,574.88
  6. Step 6: Final answer
    x = 4,547.65

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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.