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Finding the Fourth Proportional to 3,603.63, 5,406.35 and 1,006.57

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Solution

The fourth proportional to 3,603.63, 5,406.35 and 1,006.57 is: 1,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.63 : 5,406.35 = 1,006.57 : x
  2. Step 2: Convert to fraction form
    3,603.63/5,406.35 = 1,006.57/x
  3. Step 3: Cross multiply
    3,603.63x = 5,406.35 × 1,006.57
  4. Step 4: Simplify right side
    3,603.63x = 5,441,869.72
  5. Step 5: Solve for x
    x = 5,441,869.72/3,603.63
  6. Step 6: Final answer
    x = 1,510.11

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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.