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Finding the Fourth Proportional to 5,335.50, 7,970.87 and 4,460.70

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Solution

The fourth proportional to 5,335.50, 7,970.87 and 4,460.70 is: 6,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.50 : 7,970.87 = 4,460.70 : x
  2. Step 2: Convert to fraction form
    5,335.50/7,970.87 = 4,460.70/x
  3. Step 3: Cross multiply
    5,335.50x = 7,970.87 × 4,460.70
  4. Step 4: Simplify right side
    5,335.50x = 35,555,637.51
  5. Step 5: Solve for x
    x = 35,555,637.51/5,335.50
  6. Step 6: Final answer
    x = 6,663.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.