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Finding the Fourth Proportional to 4,699.65, 6,482.66 and 3,106.31

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Solution

The fourth proportional to 4,699.65, 6,482.66 and 3,106.31 is: 4,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.65 : 6,482.66 = 3,106.31 : x
  2. Step 2: Convert to fraction form
    4,699.65/6,482.66 = 3,106.31/x
  3. Step 3: Cross multiply
    4,699.65x = 6,482.66 × 3,106.31
  4. Step 4: Simplify right side
    4,699.65x = 20,137,151.58
  5. Step 5: Solve for x
    x = 20,137,151.58/4,699.65
  6. Step 6: Final answer
    x = 4,284.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.