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Finding the Fourth Proportional to 4,707.36, 6,499.08 and 3,031.65

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Solution

The fourth proportional to 4,707.36, 6,499.08 and 3,031.65 is: 4,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.36 : 6,499.08 = 3,031.65 : x
  2. Step 2: Convert to fraction form
    4,707.36/6,499.08 = 3,031.65/x
  3. Step 3: Cross multiply
    4,707.36x = 6,499.08 × 3,031.65
  4. Step 4: Simplify right side
    4,707.36x = 19,702,935.88
  5. Step 5: Solve for x
    x = 19,702,935.88/4,707.36
  6. Step 6: Final answer
    x = 4,185.56

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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.