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Finding the Fourth Proportional to 5,098.65, 7,035.15 and 3,081.65

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Solution

The fourth proportional to 5,098.65, 7,035.15 and 3,081.65 is: 4,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.65 : 7,035.15 = 3,081.65 : x
  2. Step 2: Convert to fraction form
    5,098.65/7,035.15 = 3,081.65/x
  3. Step 3: Cross multiply
    5,098.65x = 7,035.15 × 3,081.65
  4. Step 4: Simplify right side
    5,098.65x = 21,679,870.00
  5. Step 5: Solve for x
    x = 21,679,870.00/5,098.65
  6. Step 6: Final answer
    x = 4,252.08

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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.