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Finding the Fourth Proportional to 3,417.92, 4,716.48 and 1,925.76

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Solution

The fourth proportional to 3,417.92, 4,716.48 and 1,925.76 is: 2,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.92 : 4,716.48 = 1,925.76 : x
  2. Step 2: Convert to fraction form
    3,417.92/4,716.48 = 1,925.76/x
  3. Step 3: Cross multiply
    3,417.92x = 4,716.48 × 1,925.76
  4. Step 4: Simplify right side
    3,417.92x = 9,082,808.52
  5. Step 5: Solve for x
    x = 9,082,808.52/3,417.92
  6. Step 6: Final answer
    x = 2,657.41

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