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Finding the Fourth Proportional to 5,849.63, 8,737.08 and 5,293.47

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Solution

The fourth proportional to 5,849.63, 8,737.08 and 5,293.47 is: 7,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.63 : 8,737.08 = 5,293.47 : x
  2. Step 2: Convert to fraction form
    5,849.63/8,737.08 = 5,293.47/x
  3. Step 3: Cross multiply
    5,849.63x = 8,737.08 × 5,293.47
  4. Step 4: Simplify right side
    5,849.63x = 46,249,470.87
  5. Step 5: Solve for x
    x = 46,249,470.87/5,849.63
  6. Step 6: Final answer
    x = 7,906.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.