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Finding the Fourth Proportional to 4,714.07, 7,070.76 and 2,647.01

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Solution

The fourth proportional to 4,714.07, 7,070.76 and 2,647.01 is: 3,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.07 : 7,070.76 = 2,647.01 : x
  2. Step 2: Convert to fraction form
    4,714.07/7,070.76 = 2,647.01/x
  3. Step 3: Cross multiply
    4,714.07x = 7,070.76 × 2,647.01
  4. Step 4: Simplify right side
    4,714.07x = 18,716,390.10
  5. Step 5: Solve for x
    x = 18,716,390.10/4,714.07
  6. Step 6: Final answer
    x = 3,970.33

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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.