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Finding the Fourth Proportional to 4,877.70, 7,318.35 and 4,697.70

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Solution

The fourth proportional to 4,877.70, 7,318.35 and 4,697.70 is: 7,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.70 : 7,318.35 = 4,697.70 : x
  2. Step 2: Convert to fraction form
    4,877.70/7,318.35 = 4,697.70/x
  3. Step 3: Cross multiply
    4,877.70x = 7,318.35 × 4,697.70
  4. Step 4: Simplify right side
    4,877.70x = 34,379,412.80
  5. Step 5: Solve for x
    x = 34,379,412.80/4,877.70
  6. Step 6: Final answer
    x = 7,048.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.