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Finding the Fourth Proportional to 6,970.55, 10,460.48 and 3,852.86

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Solution

The fourth proportional to 6,970.55, 10,460.48 and 3,852.86 is: 5,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.55 : 10,460.48 = 3,852.86 : x
  2. Step 2: Convert to fraction form
    6,970.55/10,460.48 = 3,852.86/x
  3. Step 3: Cross multiply
    6,970.55x = 10,460.48 × 3,852.86
  4. Step 4: Simplify right side
    6,970.55x = 40,302,693.41
  5. Step 5: Solve for x
    x = 40,302,693.41/6,970.55
  6. Step 6: Final answer
    x = 5,781.86

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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.