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Finding the Fourth Proportional to 4,130.84, 6,196.19 and 1,357.54

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Solution

The fourth proportional to 4,130.84, 6,196.19 and 1,357.54 is: 2,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.84 : 6,196.19 = 1,357.54 : x
  2. Step 2: Convert to fraction form
    4,130.84/6,196.19 = 1,357.54/x
  3. Step 3: Cross multiply
    4,130.84x = 6,196.19 × 1,357.54
  4. Step 4: Simplify right side
    4,130.84x = 8,411,575.77
  5. Step 5: Solve for x
    x = 8,411,575.77/4,130.84
  6. Step 6: Final answer
    x = 2,036.29

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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.