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Finding the Fourth Proportional to 3,654.40, 5,483.34 and 1,706.32

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Solution

The fourth proportional to 3,654.40, 5,483.34 and 1,706.32 is: 2,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.40 : 5,483.34 = 1,706.32 : x
  2. Step 2: Convert to fraction form
    3,654.40/5,483.34 = 1,706.32/x
  3. Step 3: Cross multiply
    3,654.40x = 5,483.34 × 1,706.32
  4. Step 4: Simplify right side
    3,654.40x = 9,356,332.71
  5. Step 5: Solve for x
    x = 9,356,332.71/3,654.40
  6. Step 6: Final answer
    x = 2,560.29

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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.