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Finding the Fourth Proportional to 5,794.40, 8,695.76 and 4,337.42

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Solution

The fourth proportional to 5,794.40, 8,695.76 and 4,337.42 is: 6,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.40 : 8,695.76 = 4,337.42 : x
  2. Step 2: Convert to fraction form
    5,794.40/8,695.76 = 4,337.42/x
  3. Step 3: Cross multiply
    5,794.40x = 8,695.76 × 4,337.42
  4. Step 4: Simplify right side
    5,794.40x = 37,717,098.17
  5. Step 5: Solve for x
    x = 37,717,098.17/5,794.40
  6. Step 6: Final answer
    x = 6,509.23

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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.