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Finding the Fourth Proportional to 4,870.65, 7,296.93 and 4,095.66

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Solution

The fourth proportional to 4,870.65, 7,296.93 and 4,095.66 is: 6,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.65 : 7,296.93 = 4,095.66 : x
  2. Step 2: Convert to fraction form
    4,870.65/7,296.93 = 4,095.66/x
  3. Step 3: Cross multiply
    4,870.65x = 7,296.93 × 4,095.66
  4. Step 4: Simplify right side
    4,870.65x = 29,885,744.32
  5. Step 5: Solve for x
    x = 29,885,744.32/4,870.65
  6. Step 6: Final answer
    x = 6,135.88

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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.