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Finding the Fourth Proportional to 3,416.58, 4,717.47 and 3,362.10

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Solution

The fourth proportional to 3,416.58, 4,717.47 and 3,362.10 is: 4,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.58 : 4,717.47 = 3,362.10 : x
  2. Step 2: Convert to fraction form
    3,416.58/4,717.47 = 3,362.10/x
  3. Step 3: Cross multiply
    3,416.58x = 4,717.47 × 3,362.10
  4. Step 4: Simplify right side
    3,416.58x = 15,860,605.89
  5. Step 5: Solve for x
    x = 15,860,605.89/3,416.58
  6. Step 6: Final answer
    x = 4,642.25

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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.