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Finding the Fourth Proportional to 4,322.83, 6,482.80 and 1,689.65

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Solution

The fourth proportional to 4,322.83, 6,482.80 and 1,689.65 is: 2,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.83 : 6,482.80 = 1,689.65 : x
  2. Step 2: Convert to fraction form
    4,322.83/6,482.80 = 1,689.65/x
  3. Step 3: Cross multiply
    4,322.83x = 6,482.80 × 1,689.65
  4. Step 4: Simplify right side
    4,322.83x = 10,953,663.02
  5. Step 5: Solve for x
    x = 10,953,663.02/4,322.83
  6. Step 6: Final answer
    x = 2,533.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.