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Finding the Fourth Proportional to 4,130.58, 5,699.48 and 2,361.80

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Solution

The fourth proportional to 4,130.58, 5,699.48 and 2,361.80 is: 3,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.58 : 5,699.48 = 2,361.80 : x
  2. Step 2: Convert to fraction form
    4,130.58/5,699.48 = 2,361.80/x
  3. Step 3: Cross multiply
    4,130.58x = 5,699.48 × 2,361.80
  4. Step 4: Simplify right side
    4,130.58x = 13,461,031.86
  5. Step 5: Solve for x
    x = 13,461,031.86/4,130.58
  6. Step 6: Final answer
    x = 3,258.87

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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.