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Finding the Fourth Proportional to 4,737.80, 7,071.61 and 4,445.96

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Solution

The fourth proportional to 4,737.80, 7,071.61 and 4,445.96 is: 6,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.80 : 7,071.61 = 4,445.96 : x
  2. Step 2: Convert to fraction form
    4,737.80/7,071.61 = 4,445.96/x
  3. Step 3: Cross multiply
    4,737.80x = 7,071.61 × 4,445.96
  4. Step 4: Simplify right side
    4,737.80x = 31,440,095.20
  5. Step 5: Solve for x
    x = 31,440,095.20/4,737.80
  6. Step 6: Final answer
    x = 6,636.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.