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Finding the Fourth Proportional to 4,332.25, 6,499.05 and 1,409.87

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Solution

The fourth proportional to 4,332.25, 6,499.05 and 1,409.87 is: 2,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.25 : 6,499.05 = 1,409.87 : x
  2. Step 2: Convert to fraction form
    4,332.25/6,499.05 = 1,409.87/x
  3. Step 3: Cross multiply
    4,332.25x = 6,499.05 × 1,409.87
  4. Step 4: Simplify right side
    4,332.25x = 9,162,783.13
  5. Step 5: Solve for x
    x = 9,162,783.13/4,332.25
  6. Step 6: Final answer
    x = 2,115.02

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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.