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Finding the Fourth Proportional to 3,414.76, 4,712.52 and 2,088.08

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Solution

The fourth proportional to 3,414.76, 4,712.52 and 2,088.08 is: 2,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.76 : 4,712.52 = 2,088.08 : x
  2. Step 2: Convert to fraction form
    3,414.76/4,712.52 = 2,088.08/x
  3. Step 3: Cross multiply
    3,414.76x = 4,712.52 × 2,088.08
  4. Step 4: Simplify right side
    3,414.76x = 9,840,118.76
  5. Step 5: Solve for x
    x = 9,840,118.76/3,414.76
  6. Step 6: Final answer
    x = 2,881.64

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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.