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Finding the Fourth Proportional to 4,684.94, 6,465.47 and 2,695.80

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Solution

The fourth proportional to 4,684.94, 6,465.47 and 2,695.80 is: 3,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.94 : 6,465.47 = 2,695.80 : x
  2. Step 2: Convert to fraction form
    4,684.94/6,465.47 = 2,695.80/x
  3. Step 3: Cross multiply
    4,684.94x = 6,465.47 × 2,695.80
  4. Step 4: Simplify right side
    4,684.94x = 17,429,614.03
  5. Step 5: Solve for x
    x = 17,429,614.03/4,684.94
  6. Step 6: Final answer
    x = 3,720.35

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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.