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Finding the Fourth Proportional to 3,688.83, 5,533.29 and 1,056.42

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Solution

The fourth proportional to 3,688.83, 5,533.29 and 1,056.42 is: 1,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.83 : 5,533.29 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    3,688.83/5,533.29 = 1,056.42/x
  3. Step 3: Cross multiply
    3,688.83x = 5,533.29 × 1,056.42
  4. Step 4: Simplify right side
    3,688.83x = 5,845,478.22
  5. Step 5: Solve for x
    x = 5,845,478.22/3,688.83
  6. Step 6: Final answer
    x = 1,584.64

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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.