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Finding the Fourth Proportional to 5,356.76, 8,035.14 and 3,509.42

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Solution

The fourth proportional to 5,356.76, 8,035.14 and 3,509.42 is: 5,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.76 : 8,035.14 = 3,509.42 : x
  2. Step 2: Convert to fraction form
    5,356.76/8,035.14 = 3,509.42/x
  3. Step 3: Cross multiply
    5,356.76x = 8,035.14 × 3,509.42
  4. Step 4: Simplify right side
    5,356.76x = 28,198,681.02
  5. Step 5: Solve for x
    x = 28,198,681.02/5,356.76
  6. Step 6: Final answer
    x = 5,264.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.