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Finding the Fourth Proportional to 5,977.04, 8,966.13 and 1,594.76

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Solution

The fourth proportional to 5,977.04, 8,966.13 and 1,594.76 is: 2,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.04 : 8,966.13 = 1,594.76 : x
  2. Step 2: Convert to fraction form
    5,977.04/8,966.13 = 1,594.76/x
  3. Step 3: Cross multiply
    5,977.04x = 8,966.13 × 1,594.76
  4. Step 4: Simplify right side
    5,977.04x = 14,298,825.48
  5. Step 5: Solve for x
    x = 14,298,825.48/5,977.04
  6. Step 6: Final answer
    x = 2,392.29

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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.