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Finding the Fourth Proportional to 5,417.40, 8,126.10 and 5,417.40

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Solution

The fourth proportional to 5,417.40, 8,126.10 and 5,417.40 is: 8,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.40 : 8,126.10 = 5,417.40 : x
  2. Step 2: Convert to fraction form
    5,417.40/8,126.10 = 5,417.40/x
  3. Step 3: Cross multiply
    5,417.40x = 8,126.10 × 5,417.40
  4. Step 4: Simplify right side
    5,417.40x = 44,022,334.14
  5. Step 5: Solve for x
    x = 44,022,334.14/5,417.40
  6. Step 6: Final answer
    x = 8,126.10

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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.