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Finding the Fourth Proportional to 4,362.40, 6,543.12 and 2,053.60

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Solution

The fourth proportional to 4,362.40, 6,543.12 and 2,053.60 is: 3,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.40 : 6,543.12 = 2,053.60 : x
  2. Step 2: Convert to fraction form
    4,362.40/6,543.12 = 2,053.60/x
  3. Step 3: Cross multiply
    4,362.40x = 6,543.12 × 2,053.60
  4. Step 4: Simplify right side
    4,362.40x = 13,436,951.23
  5. Step 5: Solve for x
    x = 13,436,951.23/4,362.40
  6. Step 6: Final answer
    x = 3,080.17

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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.