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Finding the Fourth Proportional to 3,810.30, 5,714.10 and 1,345.20

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Solution

The fourth proportional to 3,810.30, 5,714.10 and 1,345.20 is: 2,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.30 : 5,714.10 = 1,345.20 : x
  2. Step 2: Convert to fraction form
    3,810.30/5,714.10 = 1,345.20/x
  3. Step 3: Cross multiply
    3,810.30x = 5,714.10 × 1,345.20
  4. Step 4: Simplify right side
    3,810.30x = 7,686,607.32
  5. Step 5: Solve for x
    x = 7,686,607.32/3,810.30
  6. Step 6: Final answer
    x = 2,017.32

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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.