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Finding the Fourth Proportional to 4,698.40, 6,435.60 and 4,685.44

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Solution

The fourth proportional to 4,698.40, 6,435.60 and 4,685.44 is: 6,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.40 : 6,435.60 = 4,685.44 : x
  2. Step 2: Convert to fraction form
    4,698.40/6,435.60 = 4,685.44/x
  3. Step 3: Cross multiply
    4,698.40x = 6,435.60 × 4,685.44
  4. Step 4: Simplify right side
    4,698.40x = 30,153,617.66
  5. Step 5: Solve for x
    x = 30,153,617.66/4,698.40
  6. Step 6: Final answer
    x = 6,417.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.