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Finding the Fourth Proportional to 4,643.84, 6,965.08 and 1,356.06

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Solution

The fourth proportional to 4,643.84, 6,965.08 and 1,356.06 is: 2,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.84 : 6,965.08 = 1,356.06 : x
  2. Step 2: Convert to fraction form
    4,643.84/6,965.08 = 1,356.06/x
  3. Step 3: Cross multiply
    4,643.84x = 6,965.08 × 1,356.06
  4. Step 4: Simplify right side
    4,643.84x = 9,445,066.38
  5. Step 5: Solve for x
    x = 9,445,066.38/4,643.84
  6. Step 6: Final answer
    x = 2,033.89

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Why These Related Problems?

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