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Finding the Fourth Proportional to 5,496.21, 7,585.84 and 4,298.83

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Solution

The fourth proportional to 5,496.21, 7,585.84 and 4,298.83 is: 5,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.21 : 7,585.84 = 4,298.83 : x
  2. Step 2: Convert to fraction form
    5,496.21/7,585.84 = 4,298.83/x
  3. Step 3: Cross multiply
    5,496.21x = 7,585.84 × 4,298.83
  4. Step 4: Simplify right side
    5,496.21x = 32,610,256.40
  5. Step 5: Solve for x
    x = 32,610,256.40/5,496.21
  6. Step 6: Final answer
    x = 5,933.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.