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Finding the Fourth Proportional to 5,209.05, 7,804.47 and 4,337.16

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Solution

The fourth proportional to 5,209.05, 7,804.47 and 4,337.16 is: 6,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.05 : 7,804.47 = 4,337.16 : x
  2. Step 2: Convert to fraction form
    5,209.05/7,804.47 = 4,337.16/x
  3. Step 3: Cross multiply
    5,209.05x = 7,804.47 × 4,337.16
  4. Step 4: Simplify right side
    5,209.05x = 33,849,235.11
  5. Step 5: Solve for x
    x = 33,849,235.11/5,209.05
  6. Step 6: Final answer
    x = 6,498.16

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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.