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Finding the Fourth Proportional to 2,860.38, 4,271.54 and 2,829.46

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Solution

The fourth proportional to 2,860.38, 4,271.54 and 2,829.46 is: 4,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.38 : 4,271.54 = 2,829.46 : x
  2. Step 2: Convert to fraction form
    2,860.38/4,271.54 = 2,829.46/x
  3. Step 3: Cross multiply
    2,860.38x = 4,271.54 × 2,829.46
  4. Step 4: Simplify right side
    2,860.38x = 12,086,116.06
  5. Step 5: Solve for x
    x = 12,086,116.06/2,860.38
  6. Step 6: Final answer
    x = 4,225.35

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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.