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Finding the Fourth Proportional to 4,656.66, 6,434.70 and 3,395.50

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Solution

The fourth proportional to 4,656.66, 6,434.70 and 3,395.50 is: 4,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.66 : 6,434.70 = 3,395.50 : x
  2. Step 2: Convert to fraction form
    4,656.66/6,434.70 = 3,395.50/x
  3. Step 3: Cross multiply
    4,656.66x = 6,434.70 × 3,395.50
  4. Step 4: Simplify right side
    4,656.66x = 21,849,023.85
  5. Step 5: Solve for x
    x = 21,849,023.85/4,656.66
  6. Step 6: Final answer
    x = 4,691.99

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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.