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Finding the Fourth Proportional to 4,275.21, 6,411.54 and 1,809.99

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Solution

The fourth proportional to 4,275.21, 6,411.54 and 1,809.99 is: 2,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.21 : 6,411.54 = 1,809.99 : x
  2. Step 2: Convert to fraction form
    4,275.21/6,411.54 = 1,809.99/x
  3. Step 3: Cross multiply
    4,275.21x = 6,411.54 × 1,809.99
  4. Step 4: Simplify right side
    4,275.21x = 11,604,823.28
  5. Step 5: Solve for x
    x = 11,604,823.28/4,275.21
  6. Step 6: Final answer
    x = 2,714.45

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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.