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Finding the Fourth Proportional to 3,596, 4,964.64 and 2,356.16

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Solution

The fourth proportional to 3,596, 4,964.64 and 2,356.16 is: 3,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596 : 4,964.64 = 2,356.16 : x
  2. Step 2: Convert to fraction form
    3,596/4,964.64 = 2,356.16/x
  3. Step 3: Cross multiply
    3,596x = 4,964.64 × 2,356.16
  4. Step 4: Simplify right side
    3,596x = 11,697,486.18
  5. Step 5: Solve for x
    x = 11,697,486.18/3,596
  6. Step 6: Final answer
    x = 3,252.92

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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.