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Finding the Fourth Proportional to 5,582.68, 8,368.19 and 1,883.64

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Solution

The fourth proportional to 5,582.68, 8,368.19 and 1,883.64 is: 2,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.68 : 8,368.19 = 1,883.64 : x
  2. Step 2: Convert to fraction form
    5,582.68/8,368.19 = 1,883.64/x
  3. Step 3: Cross multiply
    5,582.68x = 8,368.19 × 1,883.64
  4. Step 4: Simplify right side
    5,582.68x = 15,762,657.41
  5. Step 5: Solve for x
    x = 15,762,657.41/5,582.68
  6. Step 6: Final answer
    x = 2,823.49

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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.