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Finding the Fourth Proportional to 5,051.19, 6,970.24 and 3,034.70

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Solution

The fourth proportional to 5,051.19, 6,970.24 and 3,034.70 is: 4,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.19 : 6,970.24 = 3,034.70 : x
  2. Step 2: Convert to fraction form
    5,051.19/6,970.24 = 3,034.70/x
  3. Step 3: Cross multiply
    5,051.19x = 6,970.24 × 3,034.70
  4. Step 4: Simplify right side
    5,051.19x = 21,152,607.55
  5. Step 5: Solve for x
    x = 21,152,607.55/5,051.19
  6. Step 6: Final answer
    x = 4,187.65

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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.