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Finding the Fourth Proportional to 3,562.68, 5,341.12 and 1,484.24

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Solution

The fourth proportional to 3,562.68, 5,341.12 and 1,484.24 is: 2,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.68 : 5,341.12 = 1,484.24 : x
  2. Step 2: Convert to fraction form
    3,562.68/5,341.12 = 1,484.24/x
  3. Step 3: Cross multiply
    3,562.68x = 5,341.12 × 1,484.24
  4. Step 4: Simplify right side
    3,562.68x = 7,927,511.93
  5. Step 5: Solve for x
    x = 7,927,511.93/3,562.68
  6. Step 6: Final answer
    x = 2,225.16

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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.