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Finding the Fourth Proportional to 6,056.64, 9,089.16 and 2,358.90

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Solution

The fourth proportional to 6,056.64, 9,089.16 and 2,358.90 is: 3,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.64 : 9,089.16 = 2,358.90 : x
  2. Step 2: Convert to fraction form
    6,056.64/9,089.16 = 2,358.90/x
  3. Step 3: Cross multiply
    6,056.64x = 9,089.16 × 2,358.90
  4. Step 4: Simplify right side
    6,056.64x = 21,440,419.52
  5. Step 5: Solve for x
    x = 21,440,419.52/6,056.64
  6. Step 6: Final answer
    x = 3,539.99

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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.