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Finding the Fourth Proportional to 3,768,478.02, 5,652,583.38 and 1,072,817.46

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Solution

The fourth proportional to 3,768,478.02, 5,652,583.38 and 1,072,817.46 is: 1,609,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768,478.02 : 5,652,583.38 = 1,072,817.46 : x
  2. Step 2: Convert to fraction form
    3,768,478.02/5,652,583.38 = 1,072,817.46/x
  3. Step 3: Cross multiply
    3,768,478.02x = 5,652,583.38 × 1,072,817.46
  4. Step 4: Simplify right side
    3,768,478.02x = 6,064,190,144,169.82
  5. Step 5: Solve for x
    x = 6,064,190,144,169.82/3,768,478.02
  6. Step 6: Final answer
    x = 1,609,188.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.