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Finding the Fourth Proportional to 4,705.60, 6,537.31 and 4,662.78

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Solution

The fourth proportional to 4,705.60, 6,537.31 and 4,662.78 is: 6,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.60 : 6,537.31 = 4,662.78 : x
  2. Step 2: Convert to fraction form
    4,705.60/6,537.31 = 4,662.78/x
  3. Step 3: Cross multiply
    4,705.60x = 6,537.31 × 4,662.78
  4. Step 4: Simplify right side
    4,705.60x = 30,482,038.32
  5. Step 5: Solve for x
    x = 30,482,038.32/4,705.60
  6. Step 6: Final answer
    x = 6,477.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.