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Finding the Fourth Proportional to 6,970.93, 10,457.67 and 2,291.20

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Solution

The fourth proportional to 6,970.93, 10,457.67 and 2,291.20 is: 3,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.93 : 10,457.67 = 2,291.20 : x
  2. Step 2: Convert to fraction form
    6,970.93/10,457.67 = 2,291.20/x
  3. Step 3: Cross multiply
    6,970.93x = 10,457.67 × 2,291.20
  4. Step 4: Simplify right side
    6,970.93x = 23,960,595.95
  5. Step 5: Solve for x
    x = 23,960,595.95/6,970.93
  6. Step 6: Final answer
    x = 3,437.22

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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.