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Finding the Fourth Proportional to 3,665.60, 5,498.36 and 1,070.36

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Solution

The fourth proportional to 3,665.60, 5,498.36 and 1,070.36 is: 1,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.60 : 5,498.36 = 1,070.36 : x
  2. Step 2: Convert to fraction form
    3,665.60/5,498.36 = 1,070.36/x
  3. Step 3: Cross multiply
    3,665.60x = 5,498.36 × 1,070.36
  4. Step 4: Simplify right side
    3,665.60x = 5,885,224.61
  5. Step 5: Solve for x
    x = 5,885,224.61/3,665.60
  6. Step 6: Final answer
    x = 1,605.53

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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.