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Finding the Fourth Proportional to 4,642.53, 6,408.93 and 3,130.45

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Solution

The fourth proportional to 4,642.53, 6,408.93 and 3,130.45 is: 4,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.53 : 6,408.93 = 3,130.45 : x
  2. Step 2: Convert to fraction form
    4,642.53/6,408.93 = 3,130.45/x
  3. Step 3: Cross multiply
    4,642.53x = 6,408.93 × 3,130.45
  4. Step 4: Simplify right side
    4,642.53x = 20,062,834.92
  5. Step 5: Solve for x
    x = 20,062,834.92/4,642.53
  6. Step 6: Final answer
    x = 4,321.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.