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Finding the Fourth Proportional to 4,000.58, 5,523.30 and 2,585

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Solution

The fourth proportional to 4,000.58, 5,523.30 and 2,585 is: 3,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.58 : 5,523.30 = 2,585 : x
  2. Step 2: Convert to fraction form
    4,000.58/5,523.30 = 2,585/x
  3. Step 3: Cross multiply
    4,000.58x = 5,523.30 × 2,585
  4. Step 4: Simplify right side
    4,000.58x = 14,277,730.50
  5. Step 5: Solve for x
    x = 14,277,730.50/4,000.58
  6. Step 6: Final answer
    x = 3,568.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.