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Finding the Fourth Proportional to 3,094.71, 4,643.58 and 1,534.86

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Solution

The fourth proportional to 3,094.71, 4,643.58 and 1,534.86 is: 2,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.71 : 4,643.58 = 1,534.86 : x
  2. Step 2: Convert to fraction form
    3,094.71/4,643.58 = 1,534.86/x
  3. Step 3: Cross multiply
    3,094.71x = 4,643.58 × 1,534.86
  4. Step 4: Simplify right side
    3,094.71x = 7,127,245.20
  5. Step 5: Solve for x
    x = 7,127,245.20/3,094.71
  6. Step 6: Final answer
    x = 2,303.04

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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.