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Finding the Fourth Proportional to 5,697.46, 8,547.27 and 1,802.44

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Solution

The fourth proportional to 5,697.46, 8,547.27 and 1,802.44 is: 2,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.46 : 8,547.27 = 1,802.44 : x
  2. Step 2: Convert to fraction form
    5,697.46/8,547.27 = 1,802.44/x
  3. Step 3: Cross multiply
    5,697.46x = 8,547.27 × 1,802.44
  4. Step 4: Simplify right side
    5,697.46x = 15,405,941.34
  5. Step 5: Solve for x
    x = 15,405,941.34/5,697.46
  6. Step 6: Final answer
    x = 2,704.00

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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.