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Finding the Fourth Proportional to 3,582.32, 5,373.48 and 985.28

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Solution

The fourth proportional to 3,582.32, 5,373.48 and 985.28 is: 1,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.32 : 5,373.48 = 985.28 : x
  2. Step 2: Convert to fraction form
    3,582.32/5,373.48 = 985.28/x
  3. Step 3: Cross multiply
    3,582.32x = 5,373.48 × 985.28
  4. Step 4: Simplify right side
    3,582.32x = 5,294,382.37
  5. Step 5: Solve for x
    x = 5,294,382.37/3,582.32
  6. Step 6: Final answer
    x = 1,477.92

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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.