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Finding the Fourth Proportional to 4,673.80, 6,477.70 and 4,586.32

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Solution

The fourth proportional to 4,673.80, 6,477.70 and 4,586.32 is: 6,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.80 : 6,477.70 = 4,586.32 : x
  2. Step 2: Convert to fraction form
    4,673.80/6,477.70 = 4,586.32/x
  3. Step 3: Cross multiply
    4,673.80x = 6,477.70 × 4,586.32
  4. Step 4: Simplify right side
    4,673.80x = 29,708,797.40
  5. Step 5: Solve for x
    x = 29,708,797.40/4,673.80
  6. Step 6: Final answer
    x = 6,356.45

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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.