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Finding the Fourth Proportional to 5,208.60, 7,814.14 and 1,698.63

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Solution

The fourth proportional to 5,208.60, 7,814.14 and 1,698.63 is: 2,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.60 : 7,814.14 = 1,698.63 : x
  2. Step 2: Convert to fraction form
    5,208.60/7,814.14 = 1,698.63/x
  3. Step 3: Cross multiply
    5,208.60x = 7,814.14 × 1,698.63
  4. Step 4: Simplify right side
    5,208.60x = 13,273,332.63
  5. Step 5: Solve for x
    x = 13,273,332.63/5,208.60
  6. Step 6: Final answer
    x = 2,548.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.