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Finding the Fourth Proportional to 4,709.58, 6,499.30 and 2,585.31

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Solution

The fourth proportional to 4,709.58, 6,499.30 and 2,585.31 is: 3,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.58 : 6,499.30 = 2,585.31 : x
  2. Step 2: Convert to fraction form
    4,709.58/6,499.30 = 2,585.31/x
  3. Step 3: Cross multiply
    4,709.58x = 6,499.30 × 2,585.31
  4. Step 4: Simplify right side
    4,709.58x = 16,802,679.34
  5. Step 5: Solve for x
    x = 16,802,679.34/4,709.58
  6. Step 6: Final answer
    x = 3,567.77

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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.