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Finding the Fourth Proportional to 4,271.94, 5,895.32 and 2,503.71

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Solution

The fourth proportional to 4,271.94, 5,895.32 and 2,503.71 is: 3,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.94 : 5,895.32 = 2,503.71 : x
  2. Step 2: Convert to fraction form
    4,271.94/5,895.32 = 2,503.71/x
  3. Step 3: Cross multiply
    4,271.94x = 5,895.32 × 2,503.71
  4. Step 4: Simplify right side
    4,271.94x = 14,760,159.12
  5. Step 5: Solve for x
    x = 14,760,159.12/4,271.94
  6. Step 6: Final answer
    x = 3,455.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.