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Finding the Fourth Proportional to 4,407, 6,081.66 and 2,417.57

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Solution

The fourth proportional to 4,407, 6,081.66 and 2,417.57 is: 3,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407 : 6,081.66 = 2,417.57 : x
  2. Step 2: Convert to fraction form
    4,407/6,081.66 = 2,417.57/x
  3. Step 3: Cross multiply
    4,407x = 6,081.66 × 2,417.57
  4. Step 4: Simplify right side
    4,407x = 14,702,838.77
  5. Step 5: Solve for x
    x = 14,702,838.77/4,407
  6. Step 6: Final answer
    x = 3,336.25

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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.