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Finding the Fourth Proportional to 4,970.52, 6,859.50 and 2,980.68

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Solution

The fourth proportional to 4,970.52, 6,859.50 and 2,980.68 is: 4,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.52 : 6,859.50 = 2,980.68 : x
  2. Step 2: Convert to fraction form
    4,970.52/6,859.50 = 2,980.68/x
  3. Step 3: Cross multiply
    4,970.52x = 6,859.50 × 2,980.68
  4. Step 4: Simplify right side
    4,970.52x = 20,445,974.46
  5. Step 5: Solve for x
    x = 20,445,974.46/4,970.52
  6. Step 6: Final answer
    x = 4,113.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.