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Finding the Fourth Proportional to 4,643.96, 6,965.93 and 1,356.98

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Solution

The fourth proportional to 4,643.96, 6,965.93 and 1,356.98 is: 2,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.96 : 6,965.93 = 1,356.98 : x
  2. Step 2: Convert to fraction form
    4,643.96/6,965.93 = 1,356.98/x
  3. Step 3: Cross multiply
    4,643.96x = 6,965.93 × 1,356.98
  4. Step 4: Simplify right side
    4,643.96x = 9,452,596.25
  5. Step 5: Solve for x
    x = 9,452,596.25/4,643.96
  6. Step 6: Final answer
    x = 2,035.46

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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.