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Finding the Fourth Proportional to 5,892.17, 8,838.26 and 1,509.67

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Solution

The fourth proportional to 5,892.17, 8,838.26 and 1,509.67 is: 2,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.17 : 8,838.26 = 1,509.67 : x
  2. Step 2: Convert to fraction form
    5,892.17/8,838.26 = 1,509.67/x
  3. Step 3: Cross multiply
    5,892.17x = 8,838.26 × 1,509.67
  4. Step 4: Simplify right side
    5,892.17x = 13,342,804.23
  5. Step 5: Solve for x
    x = 13,342,804.23/5,892.17
  6. Step 6: Final answer
    x = 2,264.50

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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.