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Finding the Fourth Proportional to 4,330.98, 6,498 and 1,409.28

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Solution

The fourth proportional to 4,330.98, 6,498 and 1,409.28 is: 2,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.98 : 6,498 = 1,409.28 : x
  2. Step 2: Convert to fraction form
    4,330.98/6,498 = 1,409.28/x
  3. Step 3: Cross multiply
    4,330.98x = 6,498 × 1,409.28
  4. Step 4: Simplify right side
    4,330.98x = 9,157,501.44
  5. Step 5: Solve for x
    x = 9,157,501.44/4,330.98
  6. Step 6: Final answer
    x = 2,114.42

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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.