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Finding the Fourth Proportional to 4,859.40, 6,703.56 and 4,196.10

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Solution

The fourth proportional to 4,859.40, 6,703.56 and 4,196.10 is: 5,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.40 : 6,703.56 = 4,196.10 : x
  2. Step 2: Convert to fraction form
    4,859.40/6,703.56 = 4,196.10/x
  3. Step 3: Cross multiply
    4,859.40x = 6,703.56 × 4,196.10
  4. Step 4: Simplify right side
    4,859.40x = 28,128,808.12
  5. Step 5: Solve for x
    x = 28,128,808.12/4,859.40
  6. Step 6: Final answer
    x = 5,788.54

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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.