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Finding the Fourth Proportional to 4,714.65, 7,070.94 and 1,427.00

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Solution

The fourth proportional to 4,714.65, 7,070.94 and 1,427.00 is: 2,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.65 : 7,070.94 = 1,427.00 : x
  2. Step 2: Convert to fraction form
    4,714.65/7,070.94 = 1,427.00/x
  3. Step 3: Cross multiply
    4,714.65x = 7,070.94 × 1,427.00
  4. Step 4: Simplify right side
    4,714.65x = 10,090,196.03
  5. Step 5: Solve for x
    x = 10,090,196.03/4,714.65
  6. Step 6: Final answer
    x = 2,140.18

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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.