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Finding the Fourth Proportional to 3,643.56, 5,466.50 and 1,303.51

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Solution

The fourth proportional to 3,643.56, 5,466.50 and 1,303.51 is: 1,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.56 : 5,466.50 = 1,303.51 : x
  2. Step 2: Convert to fraction form
    3,643.56/5,466.50 = 1,303.51/x
  3. Step 3: Cross multiply
    3,643.56x = 5,466.50 × 1,303.51
  4. Step 4: Simplify right side
    3,643.56x = 7,125,657.87
  5. Step 5: Solve for x
    x = 7,125,657.87/3,643.56
  6. Step 6: Final answer
    x = 1,955.68

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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.