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Finding the Fourth Proportional to 3,064.64, 4,594.86 and 1,116.59

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Solution

The fourth proportional to 3,064.64, 4,594.86 and 1,116.59 is: 1,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.64 : 4,594.86 = 1,116.59 : x
  2. Step 2: Convert to fraction form
    3,064.64/4,594.86 = 1,116.59/x
  3. Step 3: Cross multiply
    3,064.64x = 4,594.86 × 1,116.59
  4. Step 4: Simplify right side
    3,064.64x = 5,130,551.75
  5. Step 5: Solve for x
    x = 5,130,551.75/3,064.64
  6. Step 6: Final answer
    x = 1,674.12

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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.