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Finding the Fourth Proportional to 3,095.10, 4,643.17 and 1,535.16

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Solution

The fourth proportional to 3,095.10, 4,643.17 and 1,535.16 is: 2,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.10 : 4,643.17 = 1,535.16 : x
  2. Step 2: Convert to fraction form
    3,095.10/4,643.17 = 1,535.16/x
  3. Step 3: Cross multiply
    3,095.10x = 4,643.17 × 1,535.16
  4. Step 4: Simplify right side
    3,095.10x = 7,127,977.97
  5. Step 5: Solve for x
    x = 7,127,977.97/3,095.10
  6. Step 6: Final answer
    x = 2,302.99

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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.