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Finding the Fourth Proportional to 4,437, 6,656.04 and 1,838.52

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Solution

The fourth proportional to 4,437, 6,656.04 and 1,838.52 is: 2,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437 : 6,656.04 = 1,838.52 : x
  2. Step 2: Convert to fraction form
    4,437/6,656.04 = 1,838.52/x
  3. Step 3: Cross multiply
    4,437x = 6,656.04 × 1,838.52
  4. Step 4: Simplify right side
    4,437x = 12,237,262.66
  5. Step 5: Solve for x
    x = 12,237,262.66/4,437
  6. Step 6: Final answer
    x = 2,758.00

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