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Finding the Fourth Proportional to 4,693.65, 6,477.08 and 2,597.64

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Solution

The fourth proportional to 4,693.65, 6,477.08 and 2,597.64 is: 3,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.65 : 6,477.08 = 2,597.64 : x
  2. Step 2: Convert to fraction form
    4,693.65/6,477.08 = 2,597.64/x
  3. Step 3: Cross multiply
    4,693.65x = 6,477.08 × 2,597.64
  4. Step 4: Simplify right side
    4,693.65x = 16,825,109.10
  5. Step 5: Solve for x
    x = 16,825,109.10/4,693.65
  6. Step 6: Final answer
    x = 3,584.65

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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.