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Finding the Fourth Proportional to 4,948.05, 6,830.40 and 4,814.78

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Solution

The fourth proportional to 4,948.05, 6,830.40 and 4,814.78 is: 6,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.05 : 6,830.40 = 4,814.78 : x
  2. Step 2: Convert to fraction form
    4,948.05/6,830.40 = 4,814.78/x
  3. Step 3: Cross multiply
    4,948.05x = 6,830.40 × 4,814.78
  4. Step 4: Simplify right side
    4,948.05x = 32,886,839.16
  5. Step 5: Solve for x
    x = 32,886,839.16/4,948.05
  6. Step 6: Final answer
    x = 6,646.42

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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.