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Finding the Fourth Proportional to 5,972.95, 8,959.58 and 1,590.41

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Solution

The fourth proportional to 5,972.95, 8,959.58 and 1,590.41 is: 2,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.95 : 8,959.58 = 1,590.41 : x
  2. Step 2: Convert to fraction form
    5,972.95/8,959.58 = 1,590.41/x
  3. Step 3: Cross multiply
    5,972.95x = 8,959.58 × 1,590.41
  4. Step 4: Simplify right side
    5,972.95x = 14,249,397.68
  5. Step 5: Solve for x
    x = 14,249,397.68/5,972.95
  6. Step 6: Final answer
    x = 2,385.66

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1.5x scale

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.