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Finding the Fourth Proportional to 4,330.84, 6,497.33 and 1,409.16

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Solution

The fourth proportional to 4,330.84, 6,497.33 and 1,409.16 is: 2,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.84 : 6,497.33 = 1,409.16 : x
  2. Step 2: Convert to fraction form
    4,330.84/6,497.33 = 1,409.16/x
  3. Step 3: Cross multiply
    4,330.84x = 6,497.33 × 1,409.16
  4. Step 4: Simplify right side
    4,330.84x = 9,155,777.54
  5. Step 5: Solve for x
    x = 9,155,777.54/4,330.84
  6. Step 6: Final answer
    x = 2,114.09

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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.