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Finding the Fourth Proportional to 4,210.88, 5,808.86 and 2,442.14

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Solution

The fourth proportional to 4,210.88, 5,808.86 and 2,442.14 is: 3,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.88 : 5,808.86 = 2,442.14 : x
  2. Step 2: Convert to fraction form
    4,210.88/5,808.86 = 2,442.14/x
  3. Step 3: Cross multiply
    4,210.88x = 5,808.86 × 2,442.14
  4. Step 4: Simplify right side
    4,210.88x = 14,186,008.11
  5. Step 5: Solve for x
    x = 14,186,008.11/4,210.88
  6. Step 6: Final answer
    x = 3,368.90

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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.