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Finding the Fourth Proportional to 3,417.56, 4,714.08 and 2,088.95

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Solution

The fourth proportional to 3,417.56, 4,714.08 and 2,088.95 is: 2,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.56 : 4,714.08 = 2,088.95 : x
  2. Step 2: Convert to fraction form
    3,417.56/4,714.08 = 2,088.95/x
  3. Step 3: Cross multiply
    3,417.56x = 4,714.08 × 2,088.95
  4. Step 4: Simplify right side
    3,417.56x = 9,847,477.42
  5. Step 5: Solve for x
    x = 9,847,477.42/3,417.56
  6. Step 6: Final answer
    x = 2,881.44

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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.