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Finding the Fourth Proportional to 4,713.30, 7,070.40 and 4,649.34

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Solution

The fourth proportional to 4,713.30, 7,070.40 and 4,649.34 is: 6,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.30 : 7,070.40 = 4,649.34 : x
  2. Step 2: Convert to fraction form
    4,713.30/7,070.40 = 4,649.34/x
  3. Step 3: Cross multiply
    4,713.30x = 7,070.40 × 4,649.34
  4. Step 4: Simplify right side
    4,713.30x = 32,872,693.54
  5. Step 5: Solve for x
    x = 32,872,693.54/4,713.30
  6. Step 6: Final answer
    x = 6,974.45

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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.