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Finding the Fourth Proportional to 4,642.65, 6,964.25 and 1,869.30

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Solution

The fourth proportional to 4,642.65, 6,964.25 and 1,869.30 is: 2,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.65 : 6,964.25 = 1,869.30 : x
  2. Step 2: Convert to fraction form
    4,642.65/6,964.25 = 1,869.30/x
  3. Step 3: Cross multiply
    4,642.65x = 6,964.25 × 1,869.30
  4. Step 4: Simplify right side
    4,642.65x = 13,018,263.18
  5. Step 5: Solve for x
    x = 13,018,263.18/4,642.65
  6. Step 6: Final answer
    x = 2,804.06

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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.