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Finding the Fourth Proportional to 5,438.10, 7,506.36 and 4,962.36

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Solution

The fourth proportional to 5,438.10, 7,506.36 and 4,962.36 is: 6,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.10 : 7,506.36 = 4,962.36 : x
  2. Step 2: Convert to fraction form
    5,438.10/7,506.36 = 4,962.36/x
  3. Step 3: Cross multiply
    5,438.10x = 7,506.36 × 4,962.36
  4. Step 4: Simplify right side
    5,438.10x = 37,249,260.61
  5. Step 5: Solve for x
    x = 37,249,260.61/5,438.10
  6. Step 6: Final answer
    x = 6,849.68

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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.