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Finding the Fourth Proportional to 3,477.48, 5,216.19 and 1,396.01

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Solution

The fourth proportional to 3,477.48, 5,216.19 and 1,396.01 is: 2,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.48 : 5,216.19 = 1,396.01 : x
  2. Step 2: Convert to fraction form
    3,477.48/5,216.19 = 1,396.01/x
  3. Step 3: Cross multiply
    3,477.48x = 5,216.19 × 1,396.01
  4. Step 4: Simplify right side
    3,477.48x = 7,281,827.32
  5. Step 5: Solve for x
    x = 7,281,827.32/3,477.48
  6. Step 6: Final answer
    x = 2,094.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.