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Finding the Fourth Proportional to 3,582.80, 5,373.58 and 985.13

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Solution

The fourth proportional to 3,582.80, 5,373.58 and 985.13 is: 1,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.80 : 5,373.58 = 985.13 : x
  2. Step 2: Convert to fraction form
    3,582.80/5,373.58 = 985.13/x
  3. Step 3: Cross multiply
    3,582.80x = 5,373.58 × 985.13
  4. Step 4: Simplify right side
    3,582.80x = 5,293,674.87
  5. Step 5: Solve for x
    x = 5,293,674.87/3,582.80
  6. Step 6: Final answer
    x = 1,477.52

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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.