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Finding the Fourth Proportional to 5,098.24, 7,035 and 2,859.65

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Solution

The fourth proportional to 5,098.24, 7,035 and 2,859.65 is: 3,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.24 : 7,035 = 2,859.65 : x
  2. Step 2: Convert to fraction form
    5,098.24/7,035 = 2,859.65/x
  3. Step 3: Cross multiply
    5,098.24x = 7,035 × 2,859.65
  4. Step 4: Simplify right side
    5,098.24x = 20,117,637.75
  5. Step 5: Solve for x
    x = 20,117,637.75/5,098.24
  6. Step 6: Final answer
    x = 3,946.00

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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.