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Finding the Fourth Proportional to 5,417.42, 8,126.16 and 1,313.42

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Solution

The fourth proportional to 5,417.42, 8,126.16 and 1,313.42 is: 1,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.42 : 8,126.16 = 1,313.42 : x
  2. Step 2: Convert to fraction form
    5,417.42/8,126.16 = 1,313.42/x
  3. Step 3: Cross multiply
    5,417.42x = 8,126.16 × 1,313.42
  4. Step 4: Simplify right side
    5,417.42x = 10,673,061.07
  5. Step 5: Solve for x
    x = 10,673,061.07/5,417.42
  6. Step 6: Final answer
    x = 1,970.14

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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.