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Finding the Fourth Proportional to 4,130.85, 5,698.20 and 3,010.47

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Solution

The fourth proportional to 4,130.85, 5,698.20 and 3,010.47 is: 4,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.85 : 5,698.20 = 3,010.47 : x
  2. Step 2: Convert to fraction form
    4,130.85/5,698.20 = 3,010.47/x
  3. Step 3: Cross multiply
    4,130.85x = 5,698.20 × 3,010.47
  4. Step 4: Simplify right side
    4,130.85x = 17,154,233.14
  5. Step 5: Solve for x
    x = 17,154,233.14/4,130.85
  6. Step 6: Final answer
    x = 4,152.71

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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.