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Finding the Fourth Proportional to 4,354.86, 6,533.10 and 1,435.21

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Solution

The fourth proportional to 4,354.86, 6,533.10 and 1,435.21 is: 2,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.86 : 6,533.10 = 1,435.21 : x
  2. Step 2: Convert to fraction form
    4,354.86/6,533.10 = 1,435.21/x
  3. Step 3: Cross multiply
    4,354.86x = 6,533.10 × 1,435.21
  4. Step 4: Simplify right side
    4,354.86x = 9,376,370.45
  5. Step 5: Solve for x
    x = 9,376,370.45/4,354.86
  6. Step 6: Final answer
    x = 2,153.08

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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.