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Finding the Fourth Proportional to 6,970.46, 10,457.20 and 2,810.45

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Solution

The fourth proportional to 6,970.46, 10,457.20 and 2,810.45 is: 4,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.46 : 10,457.20 = 2,810.45 : x
  2. Step 2: Convert to fraction form
    6,970.46/10,457.20 = 2,810.45/x
  3. Step 3: Cross multiply
    6,970.46x = 10,457.20 × 2,810.45
  4. Step 4: Simplify right side
    6,970.46x = 29,389,408.57
  5. Step 5: Solve for x
    x = 29,389,408.57/6,970.46
  6. Step 6: Final answer
    x = 4,216.28

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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.