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Finding the Fourth Proportional to 6,130.14, 8,459.58 and 3,478.08

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Solution

The fourth proportional to 6,130.14, 8,459.58 and 3,478.08 is: 4,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.14 : 8,459.58 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    6,130.14/8,459.58 = 3,478.08/x
  3. Step 3: Cross multiply
    6,130.14x = 8,459.58 × 3,478.08
  4. Step 4: Simplify right side
    6,130.14x = 29,423,096.01
  5. Step 5: Solve for x
    x = 29,423,096.01/6,130.14
  6. Step 6: Final answer
    x = 4,799.74

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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.