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Finding the Fourth Proportional to 4,603.02, 6,909.39 and 2,140.23

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Solution

The fourth proportional to 4,603.02, 6,909.39 and 2,140.23 is: 3,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.02 : 6,909.39 = 2,140.23 : x
  2. Step 2: Convert to fraction form
    4,603.02/6,909.39 = 2,140.23/x
  3. Step 3: Cross multiply
    4,603.02x = 6,909.39 × 2,140.23
  4. Step 4: Simplify right side
    4,603.02x = 14,787,683.76
  5. Step 5: Solve for x
    x = 14,787,683.76/4,603.02
  6. Step 6: Final answer
    x = 3,212.60

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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.