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Finding the Fourth Proportional to 4,683.42, 6,463.80 and 4,538.16

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Solution

The fourth proportional to 4,683.42, 6,463.80 and 4,538.16 is: 6,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.42 : 6,463.80 = 4,538.16 : x
  2. Step 2: Convert to fraction form
    4,683.42/6,463.80 = 4,538.16/x
  3. Step 3: Cross multiply
    4,683.42x = 6,463.80 × 4,538.16
  4. Step 4: Simplify right side
    4,683.42x = 29,333,758.61
  5. Step 5: Solve for x
    x = 29,333,758.61/4,683.42
  6. Step 6: Final answer
    x = 6,263.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.