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Finding the Fourth Proportional to 2,804.71, 4,210.79 and 2,396.47

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Solution

The fourth proportional to 2,804.71, 4,210.79 and 2,396.47 is: 3,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.71 : 4,210.79 = 2,396.47 : x
  2. Step 2: Convert to fraction form
    2,804.71/4,210.79 = 2,396.47/x
  3. Step 3: Cross multiply
    2,804.71x = 4,210.79 × 2,396.47
  4. Step 4: Simplify right side
    2,804.71x = 10,091,031.91
  5. Step 5: Solve for x
    x = 10,091,031.91/2,804.71
  6. Step 6: Final answer
    x = 3,597.89

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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.