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Finding the Fourth Proportional to 3,604, 4,975.68 and 2,364.16

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Solution

The fourth proportional to 3,604, 4,975.68 and 2,364.16 is: 3,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604 : 4,975.68 = 2,364.16 : x
  2. Step 2: Convert to fraction form
    3,604/4,975.68 = 2,364.16/x
  3. Step 3: Cross multiply
    3,604x = 4,975.68 × 2,364.16
  4. Step 4: Simplify right side
    3,604x = 11,763,303.63
  5. Step 5: Solve for x
    x = 11,763,303.63/3,604
  6. Step 6: Final answer
    x = 3,263.96

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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.