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Finding the Fourth Proportional to 3,417.76, 4,716.16 and 1,925.91

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Solution

The fourth proportional to 3,417.76, 4,716.16 and 1,925.91 is: 2,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.76 : 4,716.16 = 1,925.91 : x
  2. Step 2: Convert to fraction form
    3,417.76/4,716.16 = 1,925.91/x
  3. Step 3: Cross multiply
    3,417.76x = 4,716.16 × 1,925.91
  4. Step 4: Simplify right side
    3,417.76x = 9,082,894.89
  5. Step 5: Solve for x
    x = 9,082,894.89/3,417.76
  6. Step 6: Final answer
    x = 2,657.56

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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.